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: 59


\[\left( f\circ g \right)\left( 0 \right)=-7\]

Work Step by Step

Since 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, t can be obtained very easily from the above equations. Now, $g\left( 0 \right)=4\left( 0 \right)-1=-1$ , thus we have $\begin{align} & \left( f\circ g \right)\left( 0 \right)=f\left( g\left( 0 \right) \right) \\ & =f\left( -1 \right) \\ & =2\left( -1 \right)-5 \\ & =-7 \end{align}$
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