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If f(x1)-f(x2)=f((x1-x2)/(1-x1x2)) for ...

If `f(x_1)-f(x_2)=f((x_1-x_2)/(1-x_1x_2))` for `x_1, x_2 in (-1,1)`, then what is `f(x)` equal to? (a) In `((1-x)/(1+x))` (b) In `((2+x)/(1-x))` (c) `tan^(-1) ((1-x)/(1+x))` (d) `tan^(-1) ((1+x)/(1-x))`

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