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Omni-MATH / Let R^(+) denote the set of positive real numbers. Find all functions f:R^(+)→R^(+) such that for each x∈R^(+), there is exactly one y∈R^(+) satisfying xf(y)+yf(x)≤2 · Discussion

Discussing Let R^(+) denote the set of positive real numbers. Find all functions f:R^(+)→R^(+) such that for each x∈R^(+), there is exactly one y∈R^(+) satisfying xf(y)+yf(x)≤2 · Omni-MATH

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