Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 6 - Trigonometric Functions - Chapter Review - Cumulative Review - Page 437: 8

Answer

$\frac{x+2}{3}=f^{-1}(x)$

Work Step by Step

To find the inverse: rewrite $f(x)$ as $y$, then exchange $x$ and $y$, and finally solve the equation for $y$. Hence here: $y=3x-2\\x=3y-2\\x+2=3y\\y=\frac{x+2}{3}=f^{-1}(x)$
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