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 54E
To determine

To find the inverse function of f where f(x)=2x1 .

Expert Solution

Answer to Problem 54E

The inverse of the function f(x)=2x1 is f1(x)=x212

Explanation of Solution

Given information: A function f(x)=2x1.

Calculation: Put f(x)=y

  f(x)=2x1y=2x1

Now solve for x by taking squares on both sides.

  y2=2x12x=y21x=y212

Interchange y and x .

  y=x212

Therefore, the inverse function is

  f1(x)=x212

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