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f-R-R-x-y-R-f-f-x-f-y-f-x-y-f-xy-f-x-




Question Number 105234 by Josias last updated on 27/Jul/20
f:R→R  x,y∈R  f(f(x)f(y))+f(x+y)=f(xy)  f(x)=?
$${f}:\mathbb{R}\rightarrow\mathbb{R}\:\:{x},{y}\in\mathbb{R} \\ $$$${f}\left({f}\left({x}\right){f}\left({y}\right)\right)+{f}\left({x}+{y}\right)={f}\left({xy}\right) \\ $$$${f}\left({x}\right)=? \\ $$

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