Precalculus (6th Edition) Blitzer

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

Chapter 7 - Cumulative Review Exercises - Page 879: 6

Answer

The required value of $ fof\left( -1 \right)$ is $\underline{3}$.

Work Step by Step

From the given graph: $ fof\left( -1 \right)=f\left( f\left( -1 \right) \right)$ where, $ f\left( -1 \right)=0$ So, $\begin{align} & fof\left( -1 \right)=f\left( f\left( -1 \right) \right) \\ & fof\left( -1 \right)=f\left( 0 \right) \\ & =3 \end{align}$ Since, $ f\left( 0 \right)=3$ $ f\left( f\left( -1 \right) \right)=3$ Therefore, the value of $ f\left( f\left( -1 \right) \right)=\underline{3}$.
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