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National and Regional Contests
China Contests
China Team Selection Test
2021 China Team Selection Test
5
functional equation
functional equation
Source: 2021ChinaTST test3 day2 P2
April 13, 2021
algebra
TST
function
Problem Statement
Determine all
f
:
R
ā
R
f:R\rightarrow R
f
:
R
ā
R
such that
f
(
x
f
(
y
)
+
y
3
)
=
y
f
(
x
)
+
f
(
y
)
3
f(xf(y)+y^3)=yf(x)+f(y)^3
f
(
x
f
(
y
)
+
y
3
)
=
y
f
(
x
)
+
f
(
y
)
3
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