Precalculus (6th Edition) Blitzer

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

Chapter 1 - Section 1.8 - Inverse Functions - Exercise Set - Page 270: 55


$\left( g\circ f \right)\left( -1 \right)=1$

Work Step by Step

The value of the given composite function can be obtained using the definition of composite functions and the values of $f$ and $g$ at the required points, which can be obtained very easily from the above table. $\begin{align} & \left( g\circ f \right)\left( -1 \right)=g\left[ f\left( -1 \right) \right] \\ & =g\left( 1 \right) \\ & =1 \end{align}$
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