jee-main 2019 Q78

jee-main · India · session2_08apr_shift1 Composite & Inverse Functions Evaluate Composition from Algebraic Definitions

If $f(x) = \log_e\frac{1-x}{1+x}$, $|x| < 1$, then $f\left(\frac{2x}{1+x^2}\right)$ is equal to
(1) $f(x^2)$
(2) $2f(x^2)$
(3) $-2f(x)$
(4) $2f(x)$

If $f(x) = \log_e\frac{1-x}{1+x}$, $|x| < 1$, then $f\left(\frac{2x}{1+x^2}\right)$ is equal to\\
(1) $f(x^2)$\\
(2) $2f(x^2)$\\
(3) $-2f(x)$\\
(4) $2f(x)$

Paper Questions

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