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 52E
To determine

To find the inverse function of f where f(x)=x2+x

Expert Solution

Answer to Problem 52E

The inverse of the function f(x)=x2+x is f1(x)=x+1412

Explanation of Solution

Given information: A function f(x)=x2+x

Calculation: Put f(x)=y

  f(x)=x2+xy=x2+x

Complete the square.

  x2+x+14=y+14 (x+ 1 2 ) 2 =y+ 1 4

Now solve for x .

  x+12=y+14x=y+1412

Interchange the variables

  y=x+1412

Therefore, the inverse function is

  f1(x)=x+1412

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