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 57E
To determine

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

Expert Solution

Answer to Problem 57E

The inverse of the function f(x)=1+1+x is f1(x)=x2x

Explanation of Solution

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

Calculation: Put f(x)=y

  f(x)=1+1+xy=1+1+x

Now solve for x .

  y=1+1+xy1=1+x

Squaring both sides.

   (y1) 2 =1+xy2+1y1=xx=y2y

Interchange y and x .

  y=x2x

Therefore, the inverse function is

  f1(x)=x2x

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