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Ecuador Mathematical Olympiad (OMEC)
2022 Ecuador NMO (OMEC)
2
2
Part of
2022 Ecuador NMO (OMEC)
Problems
(1)
Functional equation :o
Source: OMEC Ecuador National Olympiad Final Round 2022 N3 P2 day 1
11/2/2024
Determine all functions
f
:
R
ā
R
f: \mathbb{R} \rightarrow \mathbb{R}
f
:
R
ā
R
such that for all real numbers
x
,
y
x, y
x
,
y
f
(
x
+
y
)
=
f
(
f
(
x
)
)
+
y
+
2022
f(x + y)=f(f(x)) + y + 2022
f
(
x
+
y
)
=
f
(
f
(
x
))
+
y
+
2022
algebra
functional equation
function