Functional Equation

Algebra Level 4

Given that f(x)f(x) is a polynomial function of xx satisfying f(x)f(y)=f(x)+f(y)+f(xy)2f(x)f(y)=f(x)+f(y) +f(xy)-2 and that f(2)=5f(2)=5, what is f(3)f(3)?

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