Let \( f: A \rightarrow B \) be a function defined by \( f(x)=\sqrt{3} \sin x+\cos x+4 \). If \(...

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Let \( f: A \rightarrow B \) be a function defined by \( f(x)=\sqrt{3} \sin x+\cos x+4 \). If \( f \) is invertible, then
(A) \( A=[-2 \pi / 3, \pi / 3], B=[2,6] \)
(B) \( A=[\pi / 6,5 \pi / 6], B=[-2,2] \)
(C) \( A=[-\pi / 2, \pi / 2], B=[2,6] \)
(D) \( A=[-\pi / 3, \pi / 3], B=[2,6] \)
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