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JEE Math Practice 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 :

  1. A.not injective
  2. B.neither injective nor surjective
  3. C.surjective but not injective
  4. D.injective but not surjective

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