JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

f\left( x \right) = \log \left( {\frac{{1 + x}}{{1 - x}}} \right), - 1 < x < 1

, then

f\left( {\frac{{3x + {x^3}}}{{1 + 3{x^2}}}} \right) - f\left( {\frac{{2x}}{{1 + {x^2}}}} \right)

View answer and explanation

Correct option: D

f\left( x \right)

Option D (

f(x)

) is correct because after applying logarithm properties and trigonometric identities, the expression simplifies to

f(x)

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