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?

Question

Let f be a real valued function, defined on R $-$ {$-$1, 1} and given by

f(x) = 3 log_e $\left| {{{x - 1} \over {x + 1}}} \right| - {2 \over {x - 1}}$.

Then in which of the following intervals, function f(x) is increasing?

($-$$\infty $, $-$1) $\cup$ $\left( {[{1 \over 2},\infty ) - \{ 1\} } \right)$

($-$$\infty $, $\infty $) $-$ {$-$1, 1)

($-$$\infty $, ${{1 \over 2}}$] $-$ {$-$1}

($-$1, ${{1 \over 2}}$]

Solution

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