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2015 Saudi Arabia Pre-TST
2.2
f(x + y^2 - f(y)) = f(x)
f(x + y^2 - f(y)) = f(x)
Source: 2015 Saudi Arabia Pre-TST 2.2
September 12, 2020
algebra
functional
Problem Statement
Find all functions
f
:
R
→
R
f : R \to R
f
:
R
→
R
that satisfy
f
(
x
+
y
2
−
f
(
y
)
)
=
f
(
x
)
f(x + y^2 - f(y)) = f(x)
f
(
x
+
y
2
−
f
(
y
))
=
f
(
x
)
for all
x
,
y
∈
R
x,y \in R
x
,
y
∈
R
.(Vo Quoc Ba Can)
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