Answer
f and g are inverses of each other
Work Step by Step
g(f(x)) = g(3x + 4) =$ \frac{3x + 4 - 4}{3}$ = x
f(g(x)) = f($\frac{x - 4}{3}$) = 3($\frac{x - 4}{3}$) + 4 = x - 4 + 4 = x
Since g(f(x)) = f(g(x))
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: 39
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