MathDB
Problems
Contests
National and Regional Contests
Ireland Contests
Ireland National Math Olympiad
2001 Irish Math Olympiad
5
function (maybe posted before)
function (maybe posted before)
Source: Ireland 2001
July 5, 2009
function
algebra proposed
algebra
Problem Statement
Determine all functions
f
:
N
→
N
f: \mathbb{N} \rightarrow \mathbb{N}
f
:
N
→
N
which satisfy: f(x\plus{}f(y))\equal{}f(x)\plus{}y for all
x
,
y
∈
N
x,y \in \mathbb{N}
x
,
y
∈
N
.
Back to Problems
View on AoPS