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Find the maximum value of f(x) = (√(– 3 + 4x – x^2) + 4)^2 + (x – 5)^2 where 1 ≤ x ≤ 3.

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Find the maximum value of f(x) = (√(– 3 + 4x – x2)  + 4)2 + (x – 5)2 where 1 ≤ x ≤ 3.

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The function represents the distance between the point P(– 4, 5) and the circle

Maximum distance is

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