# the formula for the inverse of the function f ( x ) = 1 + 2 + 3 x . ### Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805 ### Single Variable Calculus: Concepts...

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

#### Solutions

Chapter 1.6, Problem 21E
To determine

## To find: the formula for the inverse of the function f(x)=1+2+3x .

Expert Solution

The formula for the inverse of the function f(x)=1+2+3x is f1(x)=(x1)223 .

### Explanation of Solution

Let the given function as y=1+2+3x .

Solve this equation for x as follows.

y1=2+3x(y1)2=2+3xy22y+1=2+3xx=y22y13

Then, interchange x and y and obtain the inverse function, y=x22x13 .

It can be expressed as y=(x1)223 .

Thus, the required inverse function is f1(x)=(x1)223 .

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