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JEE Advanced 2020 Paper 1 Mathematics Q7
Mathematics
Problem
Let the function f : ℝ → ℝ be defined by f(x) = x³ − x² + (x − 1) sin x and let g : ℝ → ℝ be an arbitrary function. Let fg : ℝ → ℝ be the product function defined by (fg)(x) = f(x)g(x). Then which of the following statements is/are TRUE?
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