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 47E
To determine

To find the inverse function of f where f(x)=2x+5x7 .

Expert Solution

Answer to Problem 47E

Value of the inverse function is f1(x)=7x+5x2

Explanation of Solution

Given information: A function f(x)=2x+5x7

Calculation: Put f(x)=y

  f(x)=2x+5x7y=2x+5x7

Now solve for x .

  y(x7)=2x+5xy7y=2x+57y5=2xxy7y5=x(2y)

  7y52y=x

Interchange y and x .

  y=7x+5x2

Therefore, the inverse function is

  f1(x)=7x+5x2

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