question_answer

The inverse of the function  \[f(x)=\frac{{{e}^{x}}-{{e}^{-x}}}{{{e}^{x}}+{{e}^{-x}}}+2\]given by

A)  \[{{\log }_{e}}{{\left( \frac{x+2}{x-1} \right)}^{1/2}}\]

B)  \[{{\log }_{e}}{{\left( \frac{x+1}{3-x} \right)}^{1/2}}\]

C)  \[{{\log }_{e}}{{\left( \frac{x}{2-x} \right)}^{1/2}}\]

D)         \[{{\log }_{e}}{{\left( \frac{x-1}{x+1} \right)}^{-\,2}}\]