MathDB
Problems
Contests
National and Regional Contests
Indonesia Contests
Indonesia MO
2022 Indonesia MO
1
1
Part of
2022 Indonesia MO
Problems
(1)
Boring Wrapped FE
Source: Indonesia National Math Olympiad 2022 Problem 1 (INAMO 2022/1)
10/4/2022
Determine all functions
f
:
R
→
R
f: \mathbb{R} \to \mathbb{R}
f
:
R
→
R
such that for any
x
,
y
∈
R
x,y \in \mathbb{R}
x
,
y
∈
R
we have
f
(
f
(
f
(
x
)
)
+
f
(
y
)
)
=
f
(
y
)
−
f
(
x
)
f(f(f(x)) + f(y)) = f(y) - f(x)
f
(
f
(
f
(
x
))
+
f
(
y
))
=
f
(
y
)
−
f
(
x
)
functional equation
Functional equation in R
Indonesia
Indonesia MO