# Inverse function

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 ?

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## 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 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.

## The Attempt at a Solution

How in earth can I solve this for x ?