Let $ f(x)=\sin ^{-1} x $ and $ g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} $. If $ g(2)=\lim _{x \rightarrow 2} g(x) $, then the domain of the function $fog$ is [JEE Main 2021, 26 Feb (Shift 2)]

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Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \). If \( g(2)=\lim _{x \rightarrow 2} g(x) \), th…

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