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Functions question

2019 · 11 Jan · Shift 2 · Q27
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  5. /2019 · 11 Jan · Shift 2 · Q27

Functions question

2019 · 11 Jan · Shift 2 · Q27

JEE MainMathematicsFunctionsMCQ+4 / −1
Let a function f : (0, ∞\infty∞) →\to→ (0, ∞\infty∞) be defined by f(x) = ∣1−1x∣\left| {1 - {1 \over x}} \right|​1−x1​​. Then f is :
  1. A
    not injective but it is surjective
  2. B
    neiter injective nor surjective
  3. C
    injective only
  4. D
    both injective as well as surjective
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