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Let f : R → R be a function defined by f(x) = 

e|x|- e-x/ex + e-x. Then 

(A) f is both one-one and onto 

(B) f is one-one but not onto 

(C) f is onto but not one-one 

(D) f is neither one-one nor onto

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Best answer

Correct Option:- (D) f is neither one-one nor onto

Explanation :-

⇒ f(x) cannot take negative values. 

⇒ f(x) is many-one into function

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