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 45E
To determine

To find the inverse function of f where f(x)=xx+4 .

Expert Solution

Answer to Problem 45E

The value of inverse function is f1(x)=4x1x

Explanation of Solution

Given information: A function f(x)=xx+4.

Calculation: Put f(x)=y

  f(x)=xx+4y=xx+4

Now solve for x .

  y(x+4)=xxy+4y=x4y=xxy4y=x(1y)

  4y1y=x

Interchange y and x .

  y=4y1x

Therefore, the inverse function is

  f1(x)=4x1x

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!