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PEN K Problems
8
K 8
K 8
Source:
May 25, 2007
function
trigonometry
Functional Equations
Problem Statement
Find all functions
f
:
N
→
N
f: \mathbb{N}\to \mathbb{N}
f
:
N
→
N
such that for all
n
∈
N
n\in \mathbb{N}
n
∈
N
:
f
(
f
(
f
(
n
)
)
)
+
6
f
(
n
)
=
3
f
(
f
(
n
)
)
+
4
n
+
2001.
f(f(f(n)))+6f(n)=3f(f(n))+4n+2001.
f
(
f
(
f
(
n
)))
+
6
f
(
n
)
=
3
f
(
f
(
n
))
+
4
n
+
2001.
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