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 60E
To determine

To find the inverse function of f where f(x)=1x3 .

Expert Solution

Answer to Problem 60E

The inverse of the function f(x)=1x3 is f1(x)=1x3 .

Explanation of Solution

Given information: A function f(x)=1x3

Calculation: Put f(x)=y

  f(x)=1x3y=1x3

Now solve for y .

  y=1x3y1=x3x=1y3

Interchange y and x

  y=1x3

Therefore, the inverse function is

  f1(x)=1x3

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!