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. $h(x) =(2x − 5)^{3}$

   Answer (a):

   $g(x) = 2x − 5$
   $f(x)=x^3$

2. $h(x)=\sin\left(3x−1\right)$

   Hint (b):

   $g(x)$ is the inner function.
   $f(x)$ is the outer function.
   The 'inner' function can usually be found 'inside' (parenthesis), |absolute value| or

3. $h( x )= \sqrt [ 5 ] { \operatorname { tan } x }$

   Hint (c):

   Refer to previous hints.