The domain of the function \( f(x)=\sin ^{-1}(x+[x]) \), where [.] ...

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The domain of the function \( f(x)=\sin ^{-1}(x+[x]) \), where [.] denote the greatest integer function, is
\( \mathrm{P} \)
(a) \( [0,1) \)
(b) \( [-1,1] \)
(c) \( (-1,0) \)
(d) none of these
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