College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Chapter 2 Review - Exercises - Page 270: 95


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

Work Step by Step

We are given: $f(x)=3x-2$ To find the inverse function, we switch $x$ and $y$ and solve for $y$: $y=3x-2$ $x=3y-2$ $x+2=3y$ $y=\frac{x+2}{3}=\frac{1}{3}(x+2)$ Thus the inverse is: $f^{-1}(x)= \frac{1}{3}(x+2)$
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