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JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1
Let A={x∈R:xA = \{ x \in R:x is not a positive integer}. Define a function f:A→Rf:A \to R as f(x)=2xx−1f(x) = \frac{{2x}}{{x - 1}}, then ff is
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Correct option: A
Injective but not surjective
Option A (Injective but not surjective) is correct because the function is one-to-one (injective) but does not cover all possible values in its range (not surjective).

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