The domain of \( f(x)=\sin ^{-1}\left(\log _{2}\left(\frac{1}{2} x^{2}\right)\right) \) is (a) \...

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The domain of \( f(x)=\sin ^{-1}\left(\log _{2}\left(\frac{1}{2} x^{2}\right)\right) \) is
(a) \( (-\infty,-2) \cup(2, \infty) \)
(b) \( [-1,1] \)
(c) \( (-2,-1) \cup(1,2) \)
(d) None of these
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