Finding all functions $f : \mathbb{R} \rightarrow \mathbb{R}$ with the given property

Question

Problem : Determine all functions $f : \mathbb{R} \rightarrow \mathbb{R}$ such that, for all real numbers $x$ and $y$,

$$f \Big(f(x)f(y)\Big) + f(x + y) = f(xy)$$.