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 41E
To determine

To find the inverse function of f where f(x)=54x3

Expert Solution

Answer to Problem 41E

The inverse of function f(x)=54x3 is f1(x)=5x43 .

Explanation of Solution

Given information: A function f(x)=54x3.

Calculation:Put f(x)=y

  f(x)=54x3y=54x3

Now solve for x .

  4x3=5yx=5y43 [Divide 4 both sides ]

Interchange y and x .

  y=5x43

Therefore, the inverse function is

  f1(x)=5x43

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