IR-MO 2002 Problem 18

Find all continious $f: \mathbb R\longrightarrow\mathbb R$ that for any $x,y$ $f(x)+f(y)+f(xy)=f(x+y+xy)$

Dataset text AI-MO AoPS. Quoted with source.

Solutions

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