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National and Regional Contests
Singapore Contests
Singapore MO Open
2007 Singapore MO Open
4
SMO 2007 open q4
SMO 2007 open q4
Source: SMO 2007 open
March 31, 2018
algebra
functional equation
Problem Statement
find all functions
f
:
N
→
N
f:\mathbb{N}\rightarrow\mathbb{N}
f
:
N
→
N
st
f
(
f
(
m
)
+
f
(
n
)
)
=
m
+
n
∀
m
,
n
∈
N
f(f(m)+f(n))=m+n \,\forall m,n\in\mathbb{N}
f
(
f
(
m
)
+
f
(
n
))
=
m
+
n
∀
m
,
n
∈
N
related: https://artofproblemsolving.com/community/c6h381298
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