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Omni-MATH / Let mathbb R be the set of real numbers. Determine all functions f:mathbb Rtomathbb R that satisfy the equationf(x+f(x+y))+f(xy)=x+f(x+y)+yf(x)for all real numbers x and y. [i] · Discussion

Discussing Let mathbb R be the set of real numbers. Determine all functions f:mathbb Rtomathbb R that satisfy the equationf(x+f(x+y))+f(xy)=x+f(x+y)+yf(x)for all real numbers x and y. [i] · Omni-MATH

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