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Question Number 140587 by mathsuji last updated on 09/May/21

$$a;b>0and\mathrm{\forall }x;y\in \mathbb{R}$$ $$findallfunctionsf:\mathbb{R}\to \mathbb{R};suchthat$$ $$f\left(ax\right)f\left(by\right)=abf(bx+ay)+x^a{y}^{b}f\left(x^b{y}^a\right)$$

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