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 25E
To determine

To find: The formula for the inverse of the function y=ln(x+3).

Expert Solution

Answer to Problem 25E

The formula for the inverse of the function y=ln(x+3) is f1(x)=ex3.

Explanation of Solution

The given function is y=ln(x+3).

Solve this equation for x as follows.

ey=eln(x+3)[Take exponential on both sides]ey=x+3ey3=x

Now interchange x and y and obtain the inverse function, y=ex3.

Thus, the required inverse function is f1(x)=ex3.

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