JEE Main 2026 Mathematics question
Let [·] denote the greatest integer function. If the domain of the function is [α, β], then 12(α + β) is equal to:
Answer: (A)
Solution
Need −3 ≤ 4x + 2[x] ≤ 3. On [−1, 0): [x] = −1, giving x ∈ [−1/4, 0). On [0, 1): [x] = 0, giving x ∈ [0, 3/4]. All
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