JEE Main 202126 Feb, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002Let f(x)=sin−1xf(x) = {\sin ^{ - 1}}xf(x)=sin−1x and g(x)=x2−x−22x2−x−6g(x) = {{{x^2} - x - 2} \over {2{x^2} - x - 6}}g(x)=2x2−x−6x2−x−2. If g(2)=limx→2g(x)g(2) = \mathop {\lim }\limits_{x \to 2} g(x)g(2)=x→2limg(x), then the domain of the function fog is :AOption A. (−∞,−2]∪[−43,∞)( - \infty , - 2] \cup \left[ { - {4 \over 3},\infty } \right)(−∞,−2]∪[−34,∞)BOption B. (−∞,−2]∪[−1,∞)( - \infty , - 2] \cup [ - 1,\infty )(−∞,−2]∪[−1,∞)COption C. (−∞,−2]∪[−32,∞)( - \infty , - 2] \cup \left[ { - {3 \over 2},\infty } \right)(−∞,−2]∪[−23,∞)DOption D. (−∞,−1]∪[2,∞)( - \infty , - 1] \cup [2,\infty )(−∞,−1]∪[2,∞)CheckSkip · show solution
