MEMO 2024 T2

Find all functions $f: \mathbb{R} \rightarrow \mathbb{R}$ such that $yf(x+1) = f(x+y - f(x)) + f(x)f(f(y))$ for all $x, y \in \mathbb{R}$ .

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Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.