# The inverse function of 2 2 2 2 8 8 ( ) , ( 1,1), 8 8 x x x x f x x – – – = Î – + is

Question:

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

1. $\frac{1}{4} \log _{e}\left(\frac{1+x}{1-x}\right)$

2. $\frac{1}{4}\left(\log _{8} e\right) \log _{e}\left(\frac{1-x}{1+x}\right)$

3. $\frac{1}{4} \log _{e}\left(\frac{1-x}{1+x}\right)$

4. $\frac{1}{4}\left(\log _{8} e\right) \log _{e}\left(\frac{1+x}{1-x}\right)$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets, Relations and Functions chapter.
JEE Main Previous Year Jan. 8, 2020 (I)

Solution:

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