# Finding the antiderivative (inverse) of a function

f(x)=1+e^x/1-e^x

## Homework Equations

truth is, I don't even know how to approach this, i know i have to swap the variables but now I'm all confused because a friend told me to do this, in this particular case
f(x)=[1+(e^f)-1^x]/[1-(e^f)-1^x]

## The Attempt at a Solution

i don't knolw where this -1^x came from, i would give it a shot at how to resolve for x but I really don't know how to get it down from that position as an exponent that is, any hint or advice is truly welcomed.

edit: forget the antiderivative term used in the subject i dont know why i confused those two terms, i just dont know how to delete it now =P

Last edited:

vela
Staff Emeritus
Homework Helper
Try multiplying the top and bottom by $$e^{-x/2}$$.

Or try u=$$e^x$$, then partial fractions.

Last edited:
HallsofIvy