Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.8 - One-to-One Functions and Their Inverses - 2.8 Exercises - Page 226: 38

Answer

They are inverses.

Work Step by Step

To find the inverse of a function, switch the positions of $x$ and $f(x)/y$. The original function is $f(x)=3x$. Switch $f(x)$ and $x$. $x=3(f(x))$ Divide by $3$. You are given your inverse. $f(x)=\frac{x}{3}$ which matches up with $g(x)$.
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