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 39E
To determine

To find: The inverse function of f .

Expert Solution

Answer to Problem 39E

  f1(x)=x74

Explanation of Solution

Given information: The equation is f(x)=4x+7 .

Concept used: Let, f be a one-to-one function with domain A and range B. Then its inverse function f1 has domain B and range A and is define by f1(y)=xf(x)=y for any y in B.

Calculation:

First, we replace f(x) with y ,

Then,

  f(x)=4x+7y=4x+7y7=4xx=y74f1(y)=y74f1(x)=x74

Thus, f1(x)=x74 .

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