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Let \(x,y,z\) be positive real numbers. Find the set of all possible values of \(f(x,y,z) = \frac{x}{x + y} + \frac{y}{y + z} + \frac{z}{z + x}.\)

 Apr 10, 2019
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The set of all possible values of f(x,y,z) is (0,3/2].

 Nov 29, 2019

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