Inverse Function: Finding x for y in f(x)

[Sweet_GirL]

Inverse function (Edited)

Homework Statement

Find the inverse function of :
$$f(x)=e^x-e^{-x}+2$$ where $$x \geq 0$$

Homework Equations

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

The Attempt at a Solution

How in Earth can I solve this for x ?

 

[Mark44]

Homework Statement

Find the inverse function of :
$$f(x)=e^x+e^{-x}+2$$ where $$x \geq 2$$

Homework Equations

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

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 e^x + 2 + e^-x = (e^x/2 + e^-x/2)², and also that cosh(x) = (1/2)(e^x + e^-x), where cosh(x) is the hyperbolic cosine of x.

The Attempt at a Solution

How in Earth can I solve this for x ?