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SMO 2006 Open Round 1 Question 3

SMO · SMO 2006 Open Round 1

Question 3

A function $f:\mathbb R\to\mathbb R$ satisfies $f(xy+1)=f(x)f(y)-f(y)-x+2$ for all $x,y\in\mathbb R$. Find $10f(2006)+f(0)$.