## Intermediate Algebra (6th Edition)

Published by Pearson

# Chapter 9 - Sections 9.1-9.6 - Integrated Review - Functions and Properties of Logarithms: 12

#### Answer

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

#### Work Step by Step

We are given the function, $f(x)=3x$. First, we must replace $f(x)$ with y. $y=3x$ Next, interchange x and y. $x=3y$ Next, solve for y by dividing both sides by 3. $y=\frac{x}{3}$ Finally, replace y with $f^{-1}(x)$. $f^{-1}(x)=\frac{x}{3}$

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