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: 95

Answer

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

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: $f^{-1}(x)= \frac{1}{3}(x+2)$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.