Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Domain of f(x) is [-1, 2] then domain of f([x] − − x 2 + 4) where [.] denotes the greatest integer function, is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
We must have -1 ≤ [x] − − x 2 + 4 ≤ 2
⇒ ⇒ x 2 – 5 ≤ [x] ≤ x 2 – 2
If x 2 – 5 = ± 2 ⇒ ⇒ x = 
If x 2 - 2 = ±1 ⇒ ⇒ x = 
⇒ ⇒ Required values of x are
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The function , where assumes its minimum value only at one point, if . Find .
2. If be two fixed positive integers such that for all real , then is a periodic function with …
3. The domain of the function , where the symbols have their usual meanings, is the set . Find nu…
If , then . Find .
, then is equal to . Find .
Let and be the roots of , then is equal to Find .