Chapter 3.5, Problem 44E

Each equation defines a one-to-one function $\mathit{f}$. Determine ${\mathit{f}}^{-1}$ and verify that $\mathit{f}\circ {\mathit{f}}^{-1}$ and ${\mathit{f}}^{-1}\circ \mathit{f}$ are both the identity function.

$f\left(x\right)=\sqrt[5]{x}+4$