JEE Main 202131 Aug, Evening shiftMathematicsEasyTrigonometry118× since 2002The domain of the function f(x)=sin−1(3x2+x−1(x−1)2)+cos−1(x−1x+1)f(x) = {\sin ^{ - 1}}\left( {{{3{x^2} + x - 1} \over {{{(x - 1)}^2}}}} \right) + {\cos ^{ - 1}}\left( {{{x - 1} \over {x + 1}}} \right)f(x)=sin−1((x−1)23x2+x−1)+cos−1(x+1x−1) is :AOption A. [0,14]\left[ {0,{1 \over 4}} \right][0,41]BOption B. [−2,0]∪[14,12][ - 2,0] \cup \left[ {{1 \over 4},{1 \over 2}} \right][−2,0]∪[41,21]COption C. [14,12]∪{0}\left[ {{1 \over 4},{1 \over 2}} \right] \cup \{ 0\}[41,21]∪{0}DOption D. [0,12]\left[ {0,{1 \over 2}} \right][0,21]CheckSkip · show solution
