Inverse function

[Sweet_GirL]

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 ?

[Mark44]

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 2


2. Relevant 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 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.







3. The attempt at a solution

How in earth can I solve this for x ?