BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 2.7, Problem 28E
To determine

To prove f and g are inverse of each other

Expert Solution

Answer to Problem 28E

By the property of inverse function f and g are inverse of each other

Explanation of Solution

Given information: f(x)=3x44 and g(x)=34x

Calculation:

Now:

  g(f(x))=g(3x4)g(f(x))=34(3x4)g(f(x))=33+xg(f(x))=x

  f(g(x))=f(34x)f(g(x))=3(34x)4f(g(x))=33+4x4f(g(x))=4x4=x

So by property of inverse functions f and g are inverses of each other.

These equations when composed cancel each other

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