JEE Main 2020 (8 Jan, Shift 1) Maths Q51: The inverse…

Question

The inverse function of
$f(x)=\dfrac{8^{2x}-8^{-2x}}{8^{2x}+8^{-2x}}$, $x\in(-1,1)$, is ______.

Accepted Answer

Option 4: $\frac{1}{4}(\log_8 e)\log_e\left(\frac{1+x}{1-x}\right)$

Answer

$\frac{1}{4}\log_e\left(\frac{1+x}{1-x}\right)$

Answer

$\frac{1}{4}(\log_8 e)\log_e\left(\frac{1-x}{1+x}\right)$

Answer

$\frac{1}{4}\log_e\left(\frac{1-x}{1+x}\right)$

Answer

$\frac{1}{4}(\log_8 e)\log_e\left(\frac{1+x}{1-x}\right)$

JEE Main 8 January 2020, Shift 1, Maths Q51