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 42E
To determine

To find the inverse function of f where f(x)=1x2,x>0

Expert Solution

Answer to Problem 42E

The inverse function of f(x)=1x2,x>0 is f1(x)=1x,x>0 ,

Explanation of Solution

Given information: A function f(x)=1x2,x>0

Calculation: Put f(x)=y

  f(x)=1x2y=1x2

Now solve for x .

  x2=1yx=1y

Interchange y and x

  y=1x

Therefore the inverse function is

  f1(x)=1x

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!