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 34E
To determine

To prove f and g are inverse of each other

Expert Solution

Answer to Problem 34E

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

Explanation of Solution

Given information: f(x)=4x2 and g(x)=4x2

Calculation:

Now:

  g(f(x))=g(4x2)g(f(x))=4(4x2)2g(f(x))=44+x2g(f(x))=x2=x

  f(g(x))=f(4x2)f(g(x))=4(4x2)2f(g(x))=44+x2f(g(x))=x2=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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