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KoMaL A Problems 2019/2020
A.756
RMM-Like FE
RMM-Like FE
Source: KöMaL A. 756
March 20, 2022
algebra
komal
functional equation
Problem Statement
Find all functions
f
:
R
ā
R
f:\mathbb{R}\to\mathbb{R}
f
:
R
ā
R
which satisfy the following conditions:
f
(
x
+
1
)
=
f
(
x
)
+
1
f(x+1)=f(x)+1
f
(
x
+
1
)
=
f
(
x
)
+
1
and
f
(
x
2
)
=
f
(
x
)
2
.
f(x^2)=f(x)^2.
f
(
x
2
)
=
f
(
x
)
2
.
Based on a problem of Romanian Masters of Mathematics
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