Functional Equation

Algebra Level 2

If ff is a function satisfying f(x+y)=3yf(x)+2xf(y)f(x+y) = 3^yf(x)+2^xf(y) for all x,yRx,y \in R and f(1)=1f(1) = 1, what is the value of f(3)f(3)?

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