The domain of the function \( f \) defined by P \( f(x)=\sqrt{4-x}+...

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The domain of the function \( f \) defined by
P
\( f(x)=\sqrt{4-x}+\frac{1}{\sqrt{x^{2}-1}} \) is equal to
W
(1) \( (-\infty,-1) \cup(1,4] \)
(2) \( \quad(-\infty,-1] \cup(1,4] \)
(3) \( (-\infty,-1) \cup[1,4] \)
(4) \( (-\infty,-1) \cup[1,4) \)
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