Find-all-functions-f-Z-R-such-that-f-n-m-nf-n-mf-m-nm-n-m-n-m-Z-

Question Number 156447 by MathSh last updated on 11/Oct/21

Find all functions f : Z \to R such that

f (n + m) = nf (n) + mf (m) + nm - n - m

\forall n; m \in Z

Answered by ghimisi last updated on 11/Oct/21

m = 1; n = 0 \Rightarrow f (1) = f (1) - 1 \Rightarrow 0 = - 1

? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

Commented by MathSh last updated on 11/Oct/21

Thank you dear Ser, wrong . ?

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