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7-136.

If $f\left(x\right) = x^{4}$ and $g\left(x\right) = 3\left(x + 2\right)$ , find the value of each expression below.

$f\left(2\right)$
Answer (a):
$16$

$g\left(2\right)$

$f\left(g\left(2\right)\right)$
Hint (c):
Substitute the output for $g\left(2\right)$ into $f\left(x\right)$ .
Answer (c):
$20,736$

$g\left(f\left(2\right)\right)$

Are $f\left(x\right)$ and $g\left(x\right)$ inverses of each other? Justify your answer.

Hint (e):

What happens to the original input when the two functions are inverses?

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