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: 62


\[{{g}^{-1}}\left( 7 \right)=2\]

Work Step by Step

This value of the given function can be obtained using the definition of functions and the value of $g$ at the required point. Assume, ${{g}^{-1}}\left( 7 \right)=x$ , then $g\left( x \right)=7$. Since the value of $g\left( x \right)=4x-1$ , thus we have $\begin{align} & 4x-1=7 \\ & 4x=8 \\ & x=2 \end{align}$ Thus, ${{g}^{-1}}\left( 7 \right)=x=2$.
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