# What is the inverse of #y= e^(x-1)-1# ?

##### 1 Answer

Dec 7, 2015

#### Answer:

#### Explanation:

To compute the inverse, you need to follow the following steps:

1) swap

#x = e^(y-1) - 1#

2) solve the equation for

... add

#x + 1 = e^(y-1) #

... remember that

This means that you can apply

#ln(x+1) = ln(e^(y-1))#

#ln(x+1) = y-1#

... add

#ln(x+1) + 1 = y#

3) Now, just replace

So, for

the inverse function is

Hope that this helped!