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Jee Main 2025 — Medium JEE math MCQ

Let \( [x] \) denote the greatest integer less than or equal to \( x \). Then the domain of \( f(x) = \sec^{-1}(2[x] + 1) \) is
  1. A. \( (-\infty, -1] \cup [0, \infty) \)
  2. B. \( (-\infty, -1] \cup [1, \infty) \)
  3. C. \( (-\infty, \infty) \)
  4. D. \( (-\infty, \infty) \) \( \setminus \{0\} \)

Solution

The correct option is **C**. (C. \( (-\infty, \infty) \))

MATH

medium • PYQ Reworded
Question
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Let [x] [x] denote the greatest integer less than or equal to x x . Then the domain of f(x)=sec⁡−1(2[x]+1) f(x) = \sec^{-1}(2[x] + 1) is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep