If $f(x) = \sqrt [ 3 ] { x }$, write an expression for each of the following function operations.

1. $f^{−1}(x)$

   Step 1(a):

   $f(x)=\sqrt[3]{x}$

   $y=\sqrt[3]{x}$

   Step 2(a):

   Now switch the $x$ and $y$, and solve for $y$.

2. $f( f^{−1}(x))$

   Hint (b):

   $f(\text{part a})=\sqrt[3]{\text{part a}}=$

3. $f^{−1}( f(x))$

   Hint (b) and (c):

   Regarding parts (b) and (c), read the first sentence of the Math Note.