Let A = x R : x is not a positive integer . Define a function f : A → R as f(x)= 2 x x-1…
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let A = {x ∈ R : x is not a positive integer}. Define a function f : A → R as \(f(x)=\frac{2 x}{x-1}\), then f is:
- not injective
- surjective but not injective
- injective but not surjective
- neither injective nor surjective
Answer
(C) injective but not surjective
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