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JEE Advanced 2024 Paper 2 Mathematics Q8
Mathematics
Problem
Let f : ℝ → ℝ be a function such that f(x + y) = f(x) + f(y) for all x, y ∈ ℝ, and g : ℝ → (0, ∞) be a function such that g(x + y) = g(x)g(y) for all x, y ∈ ℝ. If f(−3/5) = 12 and g(−1/3) = 2, then the value of (f(1/4) + g(−2) − 8)g(0) is ________.
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