JEE Main 2026 Mathematics question
Let f : (1, ∞) → ℝ be a function defined as . Let fⁱ⁺¹(x) = f(fⁱ(x)), i = 1, 2, …, 25, where f¹(x) = f(x). If g(x) + f²⁶(x) = 0, x ∈ (1, ∞), then the area of the region bounded by the curves y = g(x), 2y = 2x − 3, y = 0 and x = 4 is:
Answer: (A)
Solution
f²(x)=−1/x, f³(x)=−(x+1)/(x−1), f⁴(x)=x, so f has period 4 and f²⁶=f²=−1/x. Then g(x)=1/x. The line
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