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National and Regional Contests
Austria Contests
Austrian MO National Competition
1989 Federal Competition For Advanced Students, P2
6
6
Part of
1989 Federal Competition For Advanced Students, P2
Problems
(1)
functions
Source: Austria 1989
7/10/2009
Determine all functions
f
:
N
0
→
N
0
f: \mathbb{N}_0 \rightarrow \mathbb{N}_0
f
:
N
0
→
N
0
such that f(f(n))\plus{}f(n)\equal{}2n\plus{}6 for all
n
∈
N
0
n \in \mathbb{N}_0
n
∈
N
0
.
function
algebra
polynomial
algebra unsolved