If f(x) = loge 1 1 x x æ ö – ç ÷ è ø + , |x| < 1, then f 2 2 1 x x æ ö ç ÷ è ø + is equal to :

Question:

If $f(x)=\log _{e}\left(\frac{1-x}{1+x}\right),|x|<1$, then $f\left(\frac{2 x}{1+x^{2}}\right)$ is equal to :

  1. $2 f(x)$

  2. $2 f\left(x^{2}\right)$

  3. $(f(x))^{2}$

  4. $-2 f(x)$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year April 8, 2019 (I)

Solution:

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