Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 229: 88



Work Step by Step

$g~o~f=g(f(x))=g(x+4)=2(x+4)-5=2x+3~~$ (Replace $f~o~g$ by $y$) $y=2x+3~~$ (Interchange $x$ and $y$): $x=2y+3$ $x-3=2y$ $y=\frac{1}{2}x-\frac{3}{2}$ $(g~o~f)^{-1}=\frac{1}{2}x-\frac{3}{2}$
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