JEE Main 2024 Mathematics question

MathematicsFunctionJEE Main 2024

Consider the function f : R → R defined by . If the composition of f, (f∘f∘f∘…∘f)(x) (10 times) = , then the value of is equal to …..

Answer: 1024

Solution

f∘f = 4x/√(1 + 45x²), and in general the n-fold composition is 2ⁿx/√(1 +

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Question ID VK-011391