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 1.6, Problem 21E
To determine

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

Expert Solution

Answer to Problem 21E

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 .

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!