Answer
f and g are inverses of each other
Work Step by Step
g(f(x)) = g(2x - 5) = $\frac{2x - 5 + 5}{2}$ = x
f(g(x)) = f$(\frac{x + 5}{2}$) = 2$(\frac{x + 5}{2}$) - 5 = x + 5 -5 = 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: 40
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.
