The range of 'a' for which \( f(x)=a x+\cos x \) is one-one, is: (A) \( \quad(-\infty,-1) \cup(1...

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The range of 'a' for which \( f(x)=a x+\cos x \) is one-one, is:
(A) \( \quad(-\infty,-1) \cup(1, \infty) \)
(B) \( (-\infty,-1] \cup[1, \infty) \)
(C) \( \quad(-\infty,-1) \)
(D) \( (1, \infty) \)
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