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JEE Main 2024 Mathematics question

MathematicsFunctionJEE Main 2024

If the domain of the function is [−α, β) − {γ}, then α + β + γ is equal to

Answer: (D)

Solution

−1 ≤ (2 − |x|)/4 ≤ 1 gives |x| ≤ 6, i.e. x ∈ [−6, 6]. Also − x) ≠ 0 gives x ≠ 2, and

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Question ID VK-017078