### Home > APCALC > Chapter 2 > Lesson 2.2.1 > Problem2-54

2-54.

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

1. $f^{−1}(x)$

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

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

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

2. $f( f^{−1}(x))$

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

3. $f^{−1}( f(x))$

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