MathDB
Problems
Contests
National and Regional Contests
Switzerland Contests
Switzerland Team Selection Test
2003 Switzerland Team Selection Test
10
10
Part of
2003 Switzerland Team Selection Test
Problems
(1)
strictly monotonous functions f : N \to N , f(f(n)) = 3n
Source: Switzerland - Swiss TST 2003 p10
2/18/2020
Find all strictly monotonous functions
f
:
N
→
N
f : N \to N
f
:
N
→
N
that satisfy
f
(
f
(
n
)
)
=
3
n
f(f(n)) = 3n
f
(
f
(
n
))
=
3
n
for all
n
∈
N
n \in N
n
∈
N
.
functional equation
functional
algebra