Let \( f: \mathrm{R} \rightarrow \mathrm{R} \) be a function such that \( f(x)=a x+3 \sin x+4 \)...

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Let \( f: \mathrm{R} \rightarrow \mathrm{R} \) be a function such that \( f(x)=a x+3 \sin x+4 \) \( \cos x \). Then \( f(x) \) is invertible if
(a) \( a \in(-5,5) \)
(b) \( a \in(-\infty, 5) \)
(c) \( a \in(-5+\infty) \)
(d) \( (5, \infty) \)
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