CPM Homework Help : APCALC Problem 3-167

Define $f$ and $g$ so that $h(x) = f(g(x))$ , for the following functions where $f(x)\ne x$ and $g(x)\ne x$ .

$h(x)=\cos(3x−11)$
Answer (a):
$g(x) = 3x − 11$ , the inner function.
$f(x)=\cos x$ , the outer function.

$h ( x ) = \large\sqrt [ 3 ] { 2 ^ { x } - 1 }$
Hint (b):
$2^x − 1$ is the inner function.
_____________ is the outer function.