The inverse of the function f : R → {x ∈ R : x < 1} given by \(f(x)=\frac{e^x-e^{-x}}{e^x+e^{-x}}\), is

1
\(\frac{1}{2} \log \frac{1+x}{1-x}\)
2
\(\frac{1}{2} \log \frac{2+x}{2-x}\)
3
\(\frac{1}{2} \log \frac{1-x}{1+x}\)
4
none of these

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