# Inverse function

1. Mar 21, 2010

### Sweet_GirL

Inverse function (Edited)

1. The problem statement, all variables and given/known data
Find the inverse function of :
$$f(x)=e^x-e^{-x}+2$$ where $$x \geq 0$$

2. Relevant equations
All what I did is :
$$y=e^x-e^{-x}+e$$

3. The attempt at a solution

How in earth can I solve this for x ?

Last edited: Mar 21, 2010
2. Mar 21, 2010

### Staff: Mentor

This isn't right. All you have done is replace f(x) by y. The right side should have remained the same.

It's probably helpful to note that ex + 2 + e-x = (ex/2 + e-x/2)2, and also that cosh(x) = (1/2)(ex + e-x), where cosh(x) is the hyperbolic cosine of x.