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Find the domain of the following functions.f(x) = \(\sqrt{x-x^2} + \sqrt {5-x}\)fx = √x-x2 + √5-x |
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Answer» f(x) = \(\sqrt{x-x^2} + \sqrt {5-x}\) x – x2 ≥ 0 ∴ x2 – x ≤ 0 ∴ x(x – 1) ≤ 0 ∴ 0 ≤ x ≤ 1 …..(i) 5 – x ≥ 0 ∴ x ≤ 5 …..(ii) Intersection of intervals given in (i) and (ii) gives Solution set = [0, 1] ∴ Domain of f = [0, 1] |
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