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JEE Main 2025 Mathematics question

MathematicsFunctionJEE Main 2025

Let f, g : (1, ∞) → ℝ be defined as and . If the range of the function fog : [2, 4] → ℝ is [α, β], then is equal to

Answer: (4)

Solution

g(2)=4, g(4)=10/3. f decreasing on (10/3,4). α=f(4)=1/2, β=f(10/3)=29/56. 1/(β-α)=56

Question ID VK-002723