Define $f(x)$ and $g(x)$ so that $h(x) = f(g(x))$, for the following functions given that $f(x) ≠ x$ and $g(x) ≠ x$.

1. $h(x) =\operatorname{cos}(3x-11)$

   Answer (a):

   $g(x) = 3x-11$, the inner function.
   $f(x) =\operatorname{cos}x$, the outer function.

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

   Hint (b):

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

3. $h(x) = 3^{5-2x}$

   Hint (c):

   Refer to hints above.