MathDB
Problems
Contests
National and Regional Contests
Romania Contests
Romania Team Selection Test
1978 Romania Team Selection Test
2
declaration of f wasn't necessary...
declaration of f wasn't necessary...
Source: Romanian TST 1978, Day 2, P2
September 30, 2018
functional equation
function
algebra
Problem Statement
Prove that there is a function
F
:
N
⟶
N
F:\mathbb{N}\longrightarrow\mathbb{N}
F
:
N
⟶
N
satisfying
(
F
∘
F
)
(
n
)
=
n
2
,
(F\circ F) (n) =n^2,
(
F
∘
F
)
(
n
)
=
n
2
,
for all
n
∈
N
.
n\in\mathbb{N} .
n
∈
N
.
Back to Problems
View on AoPS