JEE Main 20208 Jan, Morning shiftMathematicsEasySets, Relations and Functions168× since 2002The inverse function of f(x) = 82x−8−2x82x+8−2x{{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}82x+8−2x82x−8−2x, x ∈\in∈ (-1, 1), is :AOption A. 14loge(1−x1+x){1 \over 4}{\log _e}\left( {{{1 - x} \over {1 + x}}} \right)41loge(1+x1−x)BOption B. 14(log8e)loge(1−x1+x){1 \over 4}\left( {{{\log }_8}e} \right){\log _e}\left( {{{1 - x} \over {1 + x}}} \right)41(log8e)loge(1+x1−x)COption C. 14(log8e)loge(1+x1−x){1 \over 4}\left( {{{\log }_8}e} \right){\log _e}\left( {{{1 + x} \over {1 - x}}} \right)41(log8e)loge(1−x1+x)DOption D. 14loge(1+x1−x){1 \over 4}{\log _e}\left( {{{1 + x} \over {1 - x}}} \right)41loge(1−x1+x)CheckSkip · show solution
