The inverse function of

Question:

The inverse function of

$f(\mathrm{x})=\frac{8^{2 \mathrm{x}}-8^{-2 \mathrm{x}}}{8^{2 \mathrm{x}}+8^{-2 \mathrm{x}}}, \mathrm{x} \in(-1,1)$, is

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

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

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

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

Correct Option: , 3

Solution:

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now

eSaral Gurukul

NEET

JEE Main

JEE Advanced

Our Telegram Channel

All Study Material