JEE Math Practice Question

Let f be a real valued function, defined on R $$-$$ {$$-$$1, 1} and given by f(x) = 3 loge $$\left| {{{x - 1} \over {x + 1}}} \right| - {2 \over {x - 1}}$$. Then in which of the following intervals, function f(x) is increasing?

1. A.($$-$$$$\infty $$, $$-$$1) $$\cup$$ $$\left( {[{1 \over 2},\infty ) - \{ 1\} } \right)$$
2. B.($$-$$$$\infty $$, $$\infty $$) $$-$$ {$$-$$1, 1)
3. C.($$-$$$$\infty $$, $${{1 \over 2}}$$] $$-$$ {$$-$$1}
4. D.($$-$$1, $${{1 \over 2}}$$]