The domain of \( f(x)=\cos ^{-1}(|x|-2) \) is....

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The domain of \( f(x)=\cos ^{-1}(|x|-2) \) is
(1) \( [-3,3] \)
(2) \( [-1,1] \)
(3) \( [1,3] \)
(4) \( [-3,-1] \cup[1,3] \)
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