Precalculus (6th Edition) Blitzer

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

Chapter 10 - Cumulative Review Exercises - Page 1127: 6


The value of $\left( f\circ f \right)\left( -4 \right)$ is $0$.

Work Step by Step

We know that the function $\left( f\circ f \right)\left( x \right)=\left( f\left( f\left( x \right) \right) \right)$ So, $\left( f\circ f \right)\left( -4 \right)=f\left( f\left( -4 \right) \right)$ First of all, find the value of $ f\left( -4 \right)$ from the graph that is $ f\left( -4 \right)=0$. Then, $ f\left( f\left( -4 \right) \right)=f\left( 0 \right)$ So, from the graph, one can see $ f\left( 0 \right)=0$ Thus, the value of $\left( f\circ f \right)\left( -4 \right)$ is $0$.
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