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Jee Main 2025 — Medium JEE math MCQ

The function \(f : (-\infty, \infty) \rightarrow (-\infty, 1), \text{ defined by } f(x) = \frac{x^2 - 2x}{x^2 + 2}\) is
  1. A. Neither one-one nor onto
  2. B. Onto but not one-one
  3. C. Both one-one and onto
  4. D. One-one but not onto

Solution

The correct option is **D**. (D. One-one but not onto)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
The function f:(−∞,∞)→(−∞,1), defined by f(x)=x2−2xx2+2f : (-\infty, \infty) \rightarrow (-\infty, 1), \text{ defined by } f(x) = \frac{x^2 - 2x}{x^2 + 2} is
AI hints
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