BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805
BuyFind

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 1, Problem 24RE
To determine

To find: The inverse of the function f(x)=x+12x+1.

Expert Solution

Answer to Problem 24RE

Solution:

The inverse of the function f(x)=x+12x+1 is f1(x)=3x+12x4.

Explanation of Solution

Given:

Let the function be y=x+12x+1.

Calculation:

Solve the equation for x as follows.

y(2x+1)=x+12xy+y=x+12xyx=1yx(2y1)=(y+1)

Therefore, the value of x=y+12y1.

Interchange x and y and obtain the inverse function, y=x+12x1.

Thus, the required inverse function is f1(x)=x+12x1.

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