Answer
$f^{-1}(x) = 3^{x}$
Work Step by Step
$f(x) = \log_3 x$
Let $f(x) = y$
$y = \log_3 x$
Swap the $x$ and $y$ variable to find the inverse:
$x = \log_3 y$
$y = 3^{x}$
$f^{-1}(x) = 3^{x}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - 6.2 Logarithmic Functions - 6.2 Exercises - Page 504: 89
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter 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.
