Let A = {x $ \in $ R : x is not a positive integer}. Define a function $f$ : A $ \to $ R as $f(x)$ = ${{2x} \over {x - 1}}$, then $f$ is :

Question

Let A = {x $ \in $ R : x is not a positive integer}.

Define a function $f$ : A $ \to $ R as $f(x)$ = ${{2x} \over {x - 1}}$,

then $f$ is :

not injective

neither injective nor surjective

surjective but not injective

injective but not surjective

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