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Question

Mathematics Question on Domain of a Function

Let A = { x : x ∈ R; x is not a positive integer } Define f : A → R as f(x) = 2xx1\frac{2x}{x-1}, then f is

A

injective but not surjective

B

surjective but not injective

C

bijective

D

neither injective nor surjective

Answer

injective but not surjective

Explanation

Solution

The correct answer is () :