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 44E
To determine

To find the inverse function of f where f(x)=x2x+2 .

Expert Solution

Answer to Problem 44E

The value of the inverse function is f1(x)=2x2x1

Explanation of Solution

Given information: A function f(x)=x2x+2.

Calculation: Put f(x)=y

  f(x)=x2x+2y=x2x+2

Now solve for x .

  y(x+2)=x2xy+2y=x2xyx=2y2x(y1)=2y2

  x=2y2y1

Interchange y and x .

  y=2x2x1

Therefore, the inverse function is

  f1(x)=2x2x1

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