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 48E
To determine

To find the inverse function of f where f(x)=4x23x+1 .

Expert Solution

Answer to Problem 48E

Value of the inverse function is f1(x)=x+243x

Explanation of Solution

Given information: A function f(x)=4x23x+1

Calculation: Put f(x)=y

  f(x)=4x23x+1y=4x23x+1

Now solve for x .

  (3x+1)y=4x23xy+y=4x2y+2=4x3xyy+2=x(43y)

  y+243y=x

Interchange y and x .

  y=x+243x

Therefore, the inverse function is

  f1(x)=x+243x

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