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MathsJEE Main 6 Apr 2026, Shift 2·Q1·MCQ·Easy–moderate

Sets, Relations & Functions · One-one and onto functions

Let f:R→Rf : \mathbb{R} \to \mathbb{R} be defined as f(x)=2x2−3x+23x2+x+3f(x) = \dfrac{2x^2 - 3x + 2}{3x^2 + x + 3}. Then ff is:
  1. (1)both one-one and onto
  2. (2)one-one but not onto
  3. (3)onto but not one-one
  4. (4)neither one-one nor onto

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