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 51E
To determine

To find the inverse function of f where f(x)=2+5x .

Expert Solution

Answer to Problem 51E

The inverse of the function f(x)=2+5x is f1(x)=x225 .

Explanation of Solution

Given information: A function f(x)=2+5x

Calculation: Put f(x)=y

  f(x)=2+5xy=2+5x

Now solve for x and take square on both sides.

  y2=2+5xy22=5xx=y225

Interchange y and x .

  y=x225

Therefore, the inverse function is

  f1(x)=x225

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