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Let f : R → R be defined by f(x) = ||x - 1/|x| + 1 then f is

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Let f : R → R be defined by f(x) = ||x - 1/|x| + 1 then f is

(A)  both one-one and onto

(B)  one-one but not onto

(C)  onto but not one-one

(D)  neither one-one nor onto

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Best answer

Correct option  (D) neither one-one nor onto

Explanation :

Checking one-one

Therefore, f (x) does not take value 1. For any x, f is not onto.

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