Answer
f and g are inverses of each other
Work Step by Step
g(f(x)) = g(3x) = $\frac{3x}{3}$ = x
f(g(x)) = $f(\frac{x}{3})$ = $3(\frac{x}{3})$ = x
Since g(f(x)) = f(g(x)), f and g are inverses of each other
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 38
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