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Functions question

2020 · 8 Jan · Shift 1 · Q26

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PYQ Library
JEE Main
Mathematics
Functions
2020 · 8 Jan · Shift 1 · Q26

Functions question

2020 · 8 Jan · Shift 1 · Q26

JEE MainMathematicsFunctionsMCQ+4 / −1

The inverse function of f(x) =

{{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}

, x

\in

(-1, 1), is :

A
${1 \over 4}{\log _e}\left( {{{1 - x} \over {1 + x}}} \right)$
B
${1 \over 4}\left( {{{\log }_8}e} \right){\log _e}\left( {{{1 - x} \over {1 + x}}} \right)$
C
${1 \over 4}\left( {{{\log }_8}e} \right){\log _e}\left( {{{1 + x} \over {1 - x}}} \right)$
D
${1 \over 4}{\log _e}\left( {{{1 + x} \over {1 - x}}} \right)$

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