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If f: R → R, where f(x) = ax + cosx. If f(x) is bijective, then

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If f: R → R, where f(x) = ax + cosx. If f(x) is bijective, then

(A)  a ∈ R

(B)  a ∈ R+

(C)  a ∈ R− 

(D)  a ∈ R − (−1, 1)

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Correct option   (D) a ∈ R − (−1, 1)

Explanation :

Now,

Therefore, f(x) is bijective if a ∈ R  −(−1 ,1) .

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