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Inverse Trigonometric Functions question

2025 · 28 Jan · Shift 2 · Q35
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Inverse Trigonometric Functions question

2025 · 28 Jan · Shift 2 · Q35

JEE MainMathematicsInverse Trigonometric FunctionsMCQ+4 / −1
Let [x] denote the greatest integer less than or equal to x. Then the domain of f(x)=sec⁡−1(2[x]+1)f(x) = \sec^{-1}(2[x] + 1)f(x)=sec−1(2[x]+1) is:
  1. A
    (−∞,∞)(-\infty, \infty)(−∞,∞)
  2. B
    (−∞,∞)−{0}(-\infty, \infty)- \{0\}(−∞,∞)−{0}
  3. C
    (−∞,−1]∪[0,∞)(-\infty, -1] \cup [0, \infty)(−∞,−1]∪[0,∞)
  4. D
    (−∞,−1]∪[1,∞)(-\infty, -1] \cup [1, \infty)(−∞,−1]∪[1,∞)
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