Thread: Homework question help / inverse functions

I was working through some hmwk problelms and couldn't get the right answer for this one. Figured I would post and see if anyone could help:

Find the inverse of f(x) = (e^2x) / (5 + e^2x)

Thanks for any help.

Originally Posted by dgove42

I was working through some hmwk problelms and couldn't get the right answer for this one. Figured I would post and see if anyone could help:
Find the inverse of f(x) = (e^2x) / (5 + e^2x)

Exchanging x for y can you get:

Thanks for the fast response.

How would I get the left side in terms of f(inverse)(x) = ???

i.e. How would the left side be only "y" instead of "e^2y"?

Thanks for your help.

Take the natural logarithm of both sides.

Thanks for all the help, I got the right answer.