# Chapter 2, Functions - Chapter 2 Review - Exercises - Page 270: 97

$f^{-1}(x)=\sqrt[3]{x}-1$

#### Work Step by Step

We are given: $f(x)=(x+1)^{3}$ To find the inverse function, we switch $x$ and $y$ and solve for $y$: $y=(x+1)^{3}$ $x=(y+1)^{3}$ $\sqrt[3]{x}=y+1$ $\sqrt[3]{x}-1=y$ Thus the inverse is: $f^{-1}(x)=\sqrt[3]{x}-1$

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