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JEE Main 2022 Mathematics question

MathematicsMethods of DifferentiationsJEE Main 2022

Let f : ℝ ℝ be defined as . If g(x) is a function such that f(g(x)) = x, ∀ 'x' ℝ, then is equal to .

Answer: (1)

Solution

, so f is bijective and g is its inverse. Differentiating f(g(x)) = x gives

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Question ID VK-024989