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 27E
To determine

To prove f and g are inverse of each other

Expert Solution

Answer to Problem 27E

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

Explanation of Solution

Given information: f(x)=2x5 and g(x)=x+52

Calculation:

Now:

  g(f(x))=g(2x5)g(f(x))=2x5+52g(f(x))=2x2g(f(x))=x

  f(g(x))=f(x+52)f(g(x))=2(x+52)5f(g(x))=x+55f(g(x))=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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