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The function $f : \mathbb{R} \to \mathbb{R}$ satisfies
\[f(x) f(y) = f(x + y) + xy\]for all real numbers $x$ and $y.$ Find all possible functions $f.$

 

thank you for your help in advance

 May 27, 2022
 #1
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See https://web2.0calc.com/questions/functional-equation_6

 May 27, 2022

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