Question

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

e^|x|- e^-x/e^x + 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

Answer 1

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

Explanation :-

⇒ f(x) cannot take negative values. 

⇒ f(x) is many-one into function