College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.7 - Page 309: 8


f(x) and g(x) are inverses

Work Step by Step

f(g(x)= $\frac{2}{\frac{2}{x}+5-5}$ f(g(x)= $\frac{2}{\frac{2}{x}}$ f(g(x)= x g(f(x))= $\frac{2}{\frac{2}{x-5}}$+5 g(f(x))= x-5+5 g(f(x))= x f(x) and g(x) are inverses because f(g(x)) and g(f(x)) are both equal to x
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After 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.