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 53E
To determine

To find the inverse function of f where f(x)=4x2,x0

Expert Solution

Answer to Problem 53E

The inverse of the function f(x)=4x2,x0 is f1(x)=4x2

Explanation of Solution

Given information: A function f(x)=4x2,x0

Calculation: Put f(x)=y

  f(x)=4x2y=4x2

Now solve for x .

  y4=x2x2=4yx=4y2

Interchange y and x .

  y=4x2

Therefore, the inverse function is

  f1(x)=4x2

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