Let f be a real valued function, defined on R - - 1, 1 and given by f(x) = 3 log e | (x - 1)/(x + 1) | - 2/(x - 1). Then in which of the following intervals, function f(x) is increasing?

(A) (- ∞, - 1) ([1/2,∞) - 1)

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Evening shift · Q2718

JEE Main 202116 Mar, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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?

JEE Main 2021 · 16 Mar, Evening shift · Q2718

JEE Main 202116 Mar, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

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?