College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.7 - Page 310: 62

Answer

$g^{-1}(7) = 2$

Work Step by Step

Let $g(x) = y$ $y = 4x - 1$ $x = 4y - 1$ $x + 1 = 4y$ $y = \frac{x+1}{4}$ $g^{-1}(x) = \frac{x+1}{4}$ $g^{-1}(7) = \frac{7+1}{4}$ $= \frac{8}{4}$ $= 2$
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