This is for pre calculus, please help

Answer:

The correct answer is:

\(g(x) = x+1\)

Step-by-step explanation:

Given that:

\(h(x) = f\circ g(x)= \sqrt[3]{x+3}\)

\(f(x) = \sqrt[3]{x+2}\)

To find:

\(g(x) = ?\)

Solution:

Let \(g(x) = m\)

We have

\(f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}\)...... (1)

Now, we have let:

\(g(x) = m\\\therefore f(g(x)) = f(m)\)

Putting x = in f(x), we get

\(f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}\)....... (2)

Comparing equation (1) and (2):

\(\sqrt[3]{x+3} =\sqrt[3]{m+2}\)

Taking cubes both sides:

\(x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1\)

\(\therefore g(x) = x+1\)

Hence,

The correct answer is:

\(g(x) = x+1\)

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An electrician plans to install solar panels on a rectangular section of roof with an area of
69

m
2
69m
2
69, start text, m, end text, squared.
Tyriq said
69
÷
7
1
10
69÷7
10
1
​
69, divided by, 7, start fraction, 1, divided by, 10, end fraction could represent the length of the section if the roof is
7
1
10

m
7
10
1
​
m7, start fraction, 1, divided by, 10, end fraction, start text, m, end text across.
Corbin said
69
÷
7
1
10
69÷7
10
1
​
69, divided by, 7, start fraction, 1, divided by, 10, end fraction could represent the number of solar panels that would fit if each panel was
7
1
10

m
7
10
1
​
m7, start fraction, 1, divided by, 10, end fraction, start text, m, end text long.
Whose interpretation makes sense in this context?

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