Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Review Exercises - Page 303: 104

Answer

The function $h\left( x \right)$ can be written as a composition of the functions $f\left( x \right)={{x}^{4}}\text{ and }g\left( x \right)={{x}^{2}}+2x-1$.

Work Step by Step

Consider the functions $f\left( x \right)={{x}^{4}}$ and $g\left( x \right)={{x}^{2}}+2x-1$. Then, $\begin{align} & h\left( x \right)={{\left( {{x}^{2}}+2x-1 \right)}^{4}} \\ & =f\left( g\left( x \right) \right) \end{align}$ Hence, the function x can be written as a composition of the above functions.
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