## Precalculus (6th Edition) Blitzer

The function $h\left( x \right)=\sqrt[3]{7x+4}$ can be written as composition of the functions $f\left( x \right)=\sqrt[3]{x}\text{ and }g\left( x \right)=7x+4$.
Consider the functions $f\left( x \right)=\sqrt[3]{x}$ and $g\left( x \right)=7x+4$. Then, \begin{align} & h\left( x \right)=\sqrt[3]{7x+4} \\ & =f\left( 7x+4 \right) \\ & =f\left( g\left( x \right) \right) \end{align} Hence, the function $h\left( x \right)=\sqrt[3]{7x+4}$ can be written as composition of the functions $f\left( x \right)=\sqrt[3]{x}\text{ and }g\left( x \right)=7x+4$.