« Vrati se
We denote by \mathbb{R}^+ the set of all positive real numbers.

Find all functions f: \mathbb R^ + \rightarrow\mathbb R^ + which have the property: f\left(x\right)f\left(y\right) = 2f\left(x + yf\left(x\right)\right) for all positive real numbers x and y.

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