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 46E
To determine

To find the inverse function of f where f(x)=3xx2

Expert Solution

Answer to Problem 46E

The value of inverse function is f1(x)=2xx3

Explanation of Solution

Given information: A function f(x)=3xx2

Calculation: Put f(x)=y

  f(x)=3xx2y=3xx2

Now solve for x .

  y(x2)=3xxy2y=3x2y=3xxy2y=x(3y)

  2y3y=x2yy3=x

Interchange y and x .

  y=2xx3

Therefore, the inverse function is

  f1(x)=2xx3

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!