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2
A funtional equation
A funtional equation
Source: Bulgaria TST 2003 P2
September 8, 2012
algebra
functional equation
algebra proposed
Problem Statement
Find all
f
:
R
ā
R
f:R-R
f
:
R
ā
R
such that
f
(
x
2
+
y
+
f
(
y
)
)
=
2
y
+
f
(
x
)
2
f(x^2+y+f(y))=2y+f(x)^2
f
(
x
2
+
y
+
f
(
y
))
=
2
y
+
f
(
x
)
2
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