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The function f is defined on [1, 3] by f(x) = 6x + (x 1) 3 4 (3 x) 1 4 . At which point

The function f is defined on [1, 3] by f(x) = 6x + (x 1) 3 4 (3 x) 1 4 . At which point c in (1, 3), if any, does f(3) f(1) 2 = f (c) hold?

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