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 50E
To determine

To find the inverse function of f where f(x)=2x1x3 .

Expert Solution

Answer to Problem 50E

The inverse of the function f(x)=2x1x3 is f1(x)=3x1(x2) .

Explanation of Solution

Given information: A function f(x)=2x1x3

Calculation: Put f(x)=y

  f(x)=2x1x3y=2x1x3

Now solve for x

  xy3y=2x1xy2x=3y1x(y2)=3y1x=3y1(y2)

Interchange y and x .

  y=3x1(x2)

Therefore, the inverse function is

  f1(x)=3x1(x2)

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