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 25E
To determine

To prove f and g are inverse of each other

Expert Solution

Answer to Problem 25E

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

Explanation of Solution

Given information:

  f(x)=x6 and g(x)=x+6

Calculation:

Now:

  g(f(x))=g(x6)g(f(x))=x6+6g(f(x))=x

  f(g(x))=f(x+6)f(g(x))=x+66f(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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