# Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 228: 15

f(g(x))=g(f(x)=x

#### Work Step by Step

Show that f(g(x))=g(f(x)=x. f(g(x))=f(4x+9)=(4x+9-9)/4=4x/4=x g(f(x))=g($\frac{x-9}{4}$)=4($\frac{x-9}{4}$)+9=x-9+9=x

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.