The domain of the function \( f(x)=\frac{\sin ^{-1}(3-x)}{\log _{e}...

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The domain of the function \( f(x)=\frac{\sin ^{-1}(3-x)}{\log _{e}(|x|-2)^{\prime}} \) is
\( \mathrm{P} \)
(1) \( [2,4] \)
(2) \( (2,3) \cup(3,4] \)
(3) \( [2,3) \)
(4) \( (-\infty,-3) \cup[2, \infty) \)
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