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 49E
To determine

To find the inverse function of f where f(x)=1+3x52x .

Expert Solution

Answer to Problem 49E

The inverse of the function f(x)=1+3x52x is f1(x)=5x13+2x .

Explanation of Solution

Given information: A function f(x)=1+3x52x

Calculation: Put f(x)=y

  f(x)=1+3x52xy=1+3x52x

Now solve for x .

  5y2xy=1+3x5y1=3x+2xy5y1=x(3+2y)x=5y13+2y

Interchange y and x .

  y=5x13+2x

Therefore, the inverse function is

  f1(x)=5x13+2x

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!