Home > APCALC > Chapter 3 > Lesson 3.4.2 > Problem3-167

3-167.

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

1. $h(x)=\cos(3x−11)$

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

1. $h ( x ) = \large\sqrt [ 3 ] { 2 ^ { x } - 1 }$

$2^x − 1$ is the inner function.
_____________ is the outer function.

1. $h(x) = 3^{5−2x}$

Refer to hints above.