JEE Main 2024 Mathematics question
Let f : ℝ → ℝ be a function defined by , and g(x) = f(f(f(f(x)))). Then is equal to
Answer: (B)
Solution
f(f(x)) = x/(1 + 2x⁴, and by induction g(x) = f⁴(x) = x/(1 + 4x⁴. Then 18∫₀^{√(2√5)}x³/(1 +
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