# Functions are awesome!!!

Algebra Level 4

Find the number of functions $$f : \mathbb{R} \rightarrow \mathbb{R}$$ such that $f(x+y)=f(x)\cdot f(y)\cdot f(xy)$ for all $$x,y$$ in $$\mathbb{R}$$.

Note: $$\mathbb{R}$$ denotes the set of real numbers.

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