If …, … then … is equal to

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Functions

JEE Main 2019 · 8 Apr, Morning shift · Q3860

MathematicsEasy110×since 2002Q3860

f(x) = {\log _e}\left( {{{1 - x} \over {1 + x}}} \right)

\left| x \right| < 1

then

f\left( {{{2x} \over {1 + {x^2}}}} \right)

is equal to

JEE Main 2019 · 8 Apr, Morning shift · Q3860

MathematicsEasy110×since 2002Q3860

f(x) = {\log _e}\left( {{{1 - x} \over {1 + x}}} \right)

\left| x \right| < 1

then

f\left( {{{2x} \over {1 + {x^2}}}} \right)

is equal to