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Omni-MATH / Let R denote the set of all real numbers. Find all functions f from R to R satisfying: (i) there are only finitely many s in R such that f(s)=0, and (ii) f(x⁴+y)=x³f(x)+f(f(y)) for… · Discussion

Discussing Let R denote the set of all real numbers. Find all functions f from R to R satisfying: (i) there are only finitely many s in R such that f(s)=0, and (ii) f(x⁴+y)=x³f(x)+f(f(y)) for… · Omni-MATH

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