The domain of \( f(x)=\frac{\sin ^{-1}(x)}{x-1} \) is....

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The domain of \( f(x)=\frac{\sin ^{-1}(x)}{x-1} \) is
(1) \( [-1,1] \)
(2) \( (-1,1) \)
\( \mathrm{P} \)
(3) \( [-1,1) \)
(4) \( [0,1) \)


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