fun-lim

Question: If $f({{x}_{1}})-f({{x}_{2}})=f\left( \frac{{{x}_{1}}-{{x}_{2}}}{1-{{x}_{1}}{{x}_{2}}} \right)$ for ${{x}_{1}},{{x}_{2}}\in [-1,\,1]$, then $f(x)$ is

1) $\log \frac{(1-x)}{(1+x)}$

2) ${{\tan }^{-1}}\frac{(1-x)}{(1+x)}$

3) $\log \frac{(1+x)}{(1-x)}$

4) ${{\tan }^{-1}}\frac{(1+x)}{(1-x)}$

Solution:

Explanation: No Explanation

Functions

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