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## Homework Statement

Let g(x) = (e^x - e^-x)/2. Find g^-1(x) and show (by manual computation) that g(g^-1(x)) = x.

## Homework Equations

g(x) = (e^x - e^-x)/2

## The Attempt at a Solution

I get the inverse = ln[ (2x + sqrt(4x^2 + 4) ) / 2 ]

How do I proceed?