If f(x)=x+7 and g(x)=1/x-13}, what is the domain of (f g)(x) ?
{x l x ≠6}
{x l x ≠-6}
{x l x ≠ 13}
{x l x ≠ 13}

If F(x)=x+7 And G(x)=1/x-13}, What Is The Domain Of (f G)(x) ?{x L X 6}{x L X -6}{x L X 13}{x L X 13}

Answers

Answer 1

domain of (f.g)(x) is {x l x ≠ 13} i.e option (c) where f(x) = x+7 and g(x) = 1/(x-13)

What is domain of function?

Domain of a function is defined as all those values of x that can be substituted in function for which function is defined.

Given: f(x) = x+7

g(x) = 1/(x-13)

First we need to find (f.g)(x) i.e multiplication of  f(x) and g(x)

(f.g)(x) = (x+7) ×1/(x-13) = \(\frac{x+7}{x-13}\)

Domain of function is values of x over which function is defined

For (f.g)(x) it is defined at all values of x except when x-13=0 as at this point denominator will be zero and function will become infinite that is not defined.

So,  x - 13 ≠ 0

Adding 13 on both sides, we get

x ≠ 13

So domain of  (f.g)(x) is x∈R - {13} i.e {x | x≠ 13}

Hence, option (c) is correct answer.

Learn more about domain here:

https://brainly.com/question/2264373

#SPJ1


Related Questions

Put these numbers in order from greatest to least.
1 6/8,-10/25,-18/25,1

Answers

\(\textsf{Hey there!}\)

\(\textsf{Put these numbers in order from GREATEST to LEAST}\)

\(\bullet{\mathsf{ \ 1\dfrac{6}{8}}}\)

\(\bullet\mathsf{\ -\dfrac{10}{25}}\)

\(\bullet{\mathsf{\ -\dfrac{18}{25}}}\)

\(\bullet{\textsf{ 1}}\)

\(\star\textsf{ We know that fractions, decimals, negatives are BELOW 0 (on the left}\) \(\textsf{of 0)}\)

\(\star\textsf{ \& we also know that positives and real numbers is/are ABOVE 0 (to the right}\) \(\textsf{of 0)}\)

\(\textsf{Now we can answer your question}\)

\(\blacksquare \ \mathsf{1\dfrac{6}{8} = \dfrac{14}{8} = 1.75}\)

\(\blacksquare\ \mathsf{-\dfrac{10}{25} = -0.40}\)

\(\blacksquare\ \mathsf{- \dfrac{18}{25} = -0.72}\)

\(\blacksquare \ \mathsf{1 = 1}\)

\(\textsf{Look carefully at the stuff converted to the decimal or regular number \& }\) \(\textsf{you will have your answer from \underline{greatest} to \underline{least}}\)

\(\boxed{\textsf{If you solved correctly you SHOULD have: \boxed{\mathsf{\dfrac{14}{8}, \ 1, \ - \dfrac{10}{25}\ ,\ -\dfrac{18}{25}}}}}\checkmark\)

\(\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{LoveYourselfFirst:)}\)

Need help please find all three answers

Need help please find all three answers

Answers

Answer:

What are we supposed to do

Step-by-step explanation:

Write three and seven eighths as an improper fraction and as a mixed number.
A 17/8, 3 7/8
B 31/8, 3 7/8
C 31/8, 7 3/8
D 59/8, 7 3/8

Answers

The answer is B because if u multiply 8•3 you get 24 + 7

(08.01 LC)Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi.(1 point)

Answers

The area of a circle can be calculated using the following formula:

\(A=\pi r^2\)

Where

A represents the area

r represents the radius of the circle

π is the number pi, you have to use 3.14 for the calculatins

You have to calculate the area of a circle that has a diameter of 20 inches. The radius of a circle is half the diameter:

\(\begin{gathered} r=\frac{d}{2} \\ r=\frac{20}{2} \\ r=10in \end{gathered}\)

The area of the circle can be determined as follows:

\(\begin{gathered} A=3.14\cdot10^2 \\ A=314in^2 \end{gathered}\)

The area of the circle is 314in²

The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost

Answers

very much alot of very large amouts of big moneys that are worth a large amout

Solve
\((6+v)(5v+4)=0\)

Answers

Answer:

v = -6       v = -4/5

Step-by-step explanation:

(6+v) ( 5v+4) = 0

Using the zero product property

6+v =0  5v+4 =0

v = -6      5v = -4

v = -6       v = -4/5

Which are ways to write 1/12 as a percent. Explain how you found your answer.


8 1/3%

12%

1.2%

8.4%

8.3¯¯¯%

1.12%

Question 2
First, find a way to write Response area as a fraction with a denominator of Response area. Because 12×Response area =100, multiply both the numerator and the denominator by Response area. Then write the result as a decimal number or a Response area number.

Answers

The answer is 1.2% that’s what I can say

2. The sum of two numbers is 52. The
difference of the two numbers is 6.
What are the numbers?

Answers

Answer:

29 and 23

Step-by-step explanation:

Step 1: rewrite the sentences as equations:

equation 1: x+y=52

equation 2: x-y=6

Step 2: add those two equations together to get:

2x=58

x=29

Step 3: substitute x in one of the first equations to get y:

29-y=6

y=23

Step 4: Check with the other equation:

x+y=52

29+23=52✔

Which point is located at -1 3/8?

Which point is located at -1 3/8?

Answers

Point C is located at -1 3/8

Hope that helps!

Chandler decided to go cliff jumping into the lake at his cottage. He started on the cliff at 32 ft above sea level. He jumped for 40 feet! How far below sea level did Chandler end up?

Answers

Chandler ended up 8 feet below sea level. The negative sign indicates that his final position is below sea level. This means that he has descended further into the lake compared to the starting point on the cliff.

Chandler started on the cliff at 32 feet above sea level. When he jumped for 40 feet, we need to determine the final position in relation to sea level.

Since Chandler jumped down, the distance below sea level will be calculated as a negative value. To find how far below sea level Chandler ended up, we subtract the jump distance (40 feet) from the starting height (32 feet above sea level):

32 feet - 40 feet = -8 feet

It's important to note that negative values are used here to represent the direction and magnitude of Chandler's descent relative to sea level

For more such questions on feet

https://brainly.com/question/30403118

#SPJ8

Answer:

-8 feet

Step-by-step explanation:

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Does the series converge or diverge? If it converges, what is the sum? Show your work.

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Does

Answers

Step-by-step explanation:

This is a geometric series where our common ratio is -1/2, and a is -4

Since r is less than -1, this series converges so

The sun is

\( \frac{ - 4}{1 + 0.5} \)

\( \frac{ - 4}{1.5} = - \frac{8}{3} \)

The sum is -8)3

Two ropes are attached to a wagon, one horizontal to the west with a tension force of 30N, and the other east and at an angle of 30 degrees northward and a tension force of 40 N. Find the components of the net force on the cart. Show all work.

Answers

The net force on the cart is 62N

and the vertical component =36.64 N

the horizontal component= 50N

What is revolution of vector?

The process of splitting a vector into its components is called resolution of the vector. We resolve a vector into two components which are. component along the x-axis called horizontal component. component along the y-axis called vertical component

30N tension on the cart is westward which mean the vertical component will be 0 and the horizontal component will be 30N.

40N tension isN 30° E which means

the vertical component= 40 sin60=36.64N

Horizontal component= 40 cos 60= 20N

sum of vertical = 36.64N +0= 36.64N

sum of horizontal= 30N+20N= 50N

60° was used for tension 40N because the angle of vector must always lie on the horizontal axis

therefore the net force F is obtained by using Pythagoras theorem

F= √(50^2+36.64^2)

= 62N to the nearest whole number.

learn more about resolution of vectors from

https://brainly.com/question/17369412

#SPJ1

What ratio is equivalent to 8/6

What ratio is equivalent to 8/6

Answers

Answer:

3rd option: 32/24

Step-by-step explanation:

8/6 = 4/3

1st option: Now let's change the denominator to 24:

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

2nd option: Now let's change the numerator to 24:

4/3 ==> 24/?

4/3 =

4*6 / 3*6 = 24/18, not 24/32

24/32 = 3/4, not 4/3 ==> don't get confused by this

3rd option: 32/24 is correct [Look at the explanation for 1st option]

4/3 ==> ?/24

4/3 =

4*8 / 3*8 = 32/24, not 3/24.

Hence, the 3rd option is correct.

65 = 5 + 3/4c solve for c help pls​

Answers

Answer:

c=80

Step-by-step explanation:

Answer:

c--8 that is the answer write it

calculate the following 2+2

Answers

Answer:4

Step-by-step explanation:

2+2 is 4

i dont understand this

i dont understand this

Answers

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?

A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined

Answers

The reasonable domain for the function is (b) x > 0

What is a reasonable domain for the function?

From the question, we have the following parameters that can be used in our computation:

The function f(x) = 75x + 100

Where x is the number of hours

f(x) is the total cost.

In this case, the number of hours cannot be negative or 0

This means that the values of x in the function would be x > 0

These values of x are the domain

So, the reasonable domain for the function os (b) x > 0

Read more about domain at

https://brainly.com/question/27910766

#SPJ1

Suppose that the number of customers that enter a bank in a hour is a poisson random varialbe, and suppose that P(x=0)=0.07, Determine the mean and variance of x

Answers

The mean and the variance of the poisson distribution are;

Mean = 2.66

Variance = 1.277

How to solve Poisson Distribution problems?

The formula for the PMF of a Poisson distribution is;

p(x:λ) = [e^(-λ) * λ^(x)]/x! for x = 0, 1, 2......

Thus;

p(x = 0) =  [e^(-λ) * λ^(0)]/0!

e^(-λ) = 0.07

λ = - In 0.07

λ = 2.66

That is the mean

Variance is square root of standard deviation;

Variance = √√(2.66)

Variance = 1.277

Read more about Poisson Distribution at; https://brainly.com/question/9123296

#SPJ1

Answer:

2.65926003693 for mean and variance.

Step-by-step explanation:

First of all, when it comes to Poisson distributions, the mean and variance equal the same thing. Here we can find the mean using e^-(lambda)=0.07 therefore lambda= -ln(0.07) which equals 2.65926003693 for both.

what is the solution to the equation x^2=64

Answers

Answer: Positive and negative 8

Step-by-step explanation:

Take the square root on both sides

\(\sqrt{x^2} =\sqrt{64}\)

x = ±8

Answer:

x = - 8, x = 8

Step-by-step explanation:

\( {x}^{2} = 64 \\ \\ x = \pm \sqrt{64} \\ \\ x = \pm8 \\ \\ x = - 8, \: \: x = 8\)

The committee spends $462 on costumes for 24 people. Each costume costs the same amount of money.
How much did each costume cost, in dollars?

Answers

Answer:

Step-by-step explanation: 462 Divided by 24 = 19.25$

Proof: 19.25 x 24 = 462

Answer: 19.25$

The answer would be 19.25$!

(−8,8)left parenthesis, minus, 8, comma, 8, right parenthesis and (1,-10)(1,−10)left parenthesis, 1, comma, minus, 10, right parenthesis.

Answers

Answer:

Step-by-step explanation:

What is the question? Are you looking for the distance between the points?

distance = √((Δx)² + (Δy)²) = √((1-(-8))² + ((-10)-8)²) = √(9²+(-18)²) = √405 ≅ 20.12 units.

Solve for t in this equation and show steps please d = vt + 1/2(a)(t^2)

Answers

The equation can be rewritten as (1/2)at2 + vt - d = 0

This is a quadratic equation in the variable t, which can be solved by using the quadratic formula.

t = [-v ± √(v2 - 4(1/2)(a)(-d))]/(2(1/2)(a))

= [-v ± √(v2 + 2ad)]/a

Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61

Answers

Answer:

223/29

Step-by-step explanation:

5x+3y=10 . multiply by 4

3x-4y=61 .  multiply by 3

20x+12y=40

+  9x-12y=183

_____________

29x-0y = 223 . divide both sides by 29

   x = 223/29

Does 0 ÷ a =a ÷ a(assume a is not equal to 0)? explain

Answers

Answer:

A = 0

__________________________________________________________

Solve

Although the question says not to assume A is 0, that is the only possible option, since any nor prime or composite is going to be the higher number, because it stays the same.

0 ÷ a(0) = 0

a(0) ÷ a(0) = 0

__________________________________________________________

Questions?

Ask in the comments.

solve the inequality 2(4x-3)>-3(3)+5x

Answers

Answer:

\(x > -1\\\)

Step by step explanation:

\(~~~~~2(4x-3) > -3(3)+5x\\\\\implies 8x-6 > -9+5x\\\\\implies 8x > -9+6+5x\\\\\implies 8x > -3+5x\\\\\implies 8x -5x > -3\\\\\implies 3x > -3\\\\\implies x > -\dfrac 33\\\\\implies x > -1\)

Answer please i need answer by 11:00 est

Answer please i need answer by 11:00 est

Answers

Step-by-step explanation:

2*(1/4)=0.25*2= 0.5 = (2/4)

(2/4) + (3/4)= (5/4) =

Answer please i need answer by 11:00 est

Subtract. 28.5−2.7 help

Answers

Answer:

25.8

Step-by-step explanation:

how is finding 8x3/4 similar to finding 3/4 of 8

Answers

Answer: your answer would be 6

8*3=24/4 and 24/4=6

Step-by-step explanation: Hope this help :D

Answer:

Because in order to find 3/4 of 8, you must solve for 8 * 3/4.

A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."

I would appreciate Brainliest, but no worries.

Help! I’m suppose to distribute and simplify.
-1(45p+22)-(4(9p)+11)

Answers

Answer:−81p − 33Explanation:−1(45p + 22) − (4(9p) + 11)Distribute The Negative Sign

= −1(45p + 22) + −1(4(9p) + 11)

= −1(45p + 22) + −1(4(9p)) + (−1)(11)

= −1(45p + 22) + −36p + −11

Distribute

= (−1)(45p) + (−1)(22) + −36p + −11

= −45p + −22 + −36p + −11

Combine Like Terms

= −45p + −22 + −36p + −11

= (−45p + −36p) + (−22 + −11)

= −81p + −33

Adding A Negative Is The Same Thing As Subtracting So Our Answer Is:

-81p - 33

- Pacific Northwest

Which of these is the correct ratio of strawberries to blueberries for the fruit salad?

A. 8 strawberries: 30 blueberries

B. 8 strawberries: 8 blueberries

C. 4 strawberries: 30 blueberries

D. 32 strawberries: 30 blueberries

Which of these is the correct ratio of strawberries to blueberries for the fruit salad? A. 8 strawberries:

Answers

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

What is the ratio?

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Other Questions
According to recent research on the hot hand in basketball, if a coach needed to choose a player to take the last critical shot, he should choose. Sandy is selling her jewelry at a craft show. She has already sold 50 necklaces and sells 4 per hour (h). Write an equation that represents her total number of necklaces (n) sold. True or false? the patient should be given a receipt for payments on account even if the account is not paid in full. The carotenoid pigments of some phototrophs interact with ________ to reduce its toxicity. Answer needed! Answer needed! Answer needed! natalia, a research associate at a biotechnology firm, develops a diagnostic kit for the rapid detection of malaria. in order to prevent competitors from duplicating her invention, natalia should apply for a Find the surface area of the triangular prism shown below. when lena arrived at her friend's birthday party there were 9 3/8 pizzas after lana and the other party guests had eaten pizza there was 2 5/8 pizzas left how much pizzas has eaten was eaten during the party How should I end my story?I'm writing a story about an immortal person who basically ends up meeting the guy who made him immortal and he begs the guy to die cause he hates being immortal. How should I end it? Should I let him die? How should I or how should I end the story? The statements refer to issues related to rational ignorance. Identify each statement as either true or false.Special interest groups have lower information benefits than the average voter.Rational ignorance is one reason why better-looking politicians tend to get more votes.Answer BankfalsetrueRational ignorance helps special interest groups push projects through that are, in monetary terms, low in benefit and high in cost.true Who was the President during theCivil War?A. Abraham LincolnB. Franklin PierceC. Rutherford B. HayesD. James A. Garfield 1. La nia es simptica, El nio es2. Los hombres son delgados, Las mujeres son3. La joven es alemana. El joven es|e4. El hijo es inteligente. La hija es5. El muchacho es trabajador. La muchacha es Calculate the pH of a solution that is 0.20 M HOCl and 0.90 M KOCl. In order for this buffer to have pH = pKa would you add HCl or NaOH? What quantity (moles) of which reagent would you add to 1.0 L of the original buffer so that the resulting solution has pH = pKa? Part A In the story "Life on the Sea," how does Marla feel about her husband's job as a fishing boat captain? She thinks he is a selfish fool for risking his life as he does. She is thrilled that he is doing something he loves. She wishes he had a job that let him be home more often. She wishes he had a job that made more money. Question 2 Part B Which excerpts from the story best support the answer in Part A? Select the two correct answers. "He had tried things her way, but that had only lasted a couple years; after a while, she could tell that he was miserable, and she gave him her permission to do what he loved." "He gave his job two weeks notice and was back on the sea right away." "She couldnt grasp why he didnt get the same satisfaction from life behind a desk..." "His wife, Marla, didnt understand his obsession with the water, why he spent months of the year navigating a boat full of crab fishermen to isolated spots of the ocean hundreds of miles away from shore." Which of these is an example of multi-stage sampling?a.) Randomly selecting elements from the entire population of New Yorkb.) Dividing the total population of New York Into groups and then selecting people in proportionfrom these groups.C.) Dividing the population of New York Into groups and then making simple random samplesfrom those groups.d.) Choosing New York as a sample, then selecting a sample of zip codes within New York, thensampling the names of people living in those zip codes. emphasize on your volunteering experience in your school Cambio cultural de Religin en Mxico Prehispnico al sistema Virreinal Most people with lung cancer die within 5 years of learning that they have cancer?T or F Poor sanitation is not something that only happens in faraway places, it is also something that happens close to home and often without your knowledge. Which of the following does not support this claim? - Graywater is used on lawns and parks. - Septic tanks can leak into local waterways. - Releases of untreated water can go unnoticed. - People flush prescription medications in toilets. Which of the following accurately describes either the purpose or benefit, if any, of implementing controls in the design of an experiment? Check all that apply.Group of answer choicesA. By controlling variables, the differences observed in the response variable can be attributed to the treatment and not some other factor.B. There is no benefit of control in the experiment.C. By controlling variables that may influence the response variable, we eliminate variability in the response variable.D. By controlling variables in the experiment, we eliminate the need to have a control group.E. By controlling variables that may influence the response variable, we reduce variability in the response variable.