Jeeify
MCQMediumJEE Main 2023 · 11 April, Shift 2Functions

Mathematics Question from JEE Main 2023 · 11 April, Shift 2

The domain of the function f(x)=1⌊x⌋2−3⌊x⌋−10f(x) = \frac{1}{\sqrt{\lfloor x \rfloor^2 - 3\lfloor x \rfloor - 10}}, where ⌊x⌋\lfloor x \rfloor denotes the greatest integer less than or equal to xx, is:

  • A

    (−∞,−3]∪[6,∞)(-\infty, -3] \cup [6, \infty)](streamdown:incomplete-link)

  • B

    (−∞,−2)∪(5,∞)(-\infty, -2) \cup (5, \infty)

  • C

    (−∞,−3]∪(5,∞)(-\infty, -3] \cup (5, \infty)

  • D

    (−∞,−2)∪[6,∞)(-\infty, -2) \cup [6, \infty)](streamdown:incomplete-link)

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Functions questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trialMore on Functions

Related questions