Let \( f(x)=\sin ^{-1} x \) and \( g(x)=\frac{x^{2}-x-2}{2 x^{2}-x-6} \).
If \( g(2)=\lim _{x \r... VIDEO
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 \( f \circ g \) is
\( (a)(-\infty,-2] \cup\left[-\frac{4}{3}, \infty\right) \)
(b) \( (-\infty,-1] \cup[2, \infty) \)
(c) \( (-\infty,-2] \cup[-1, \infty) \)
(d) \( (-\infty,-2] \cup\left[-\frac{3}{2}, \infty\right) \)
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