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CHMMC problems
2021 CHMMC Winter (2021-22)
5
CHMMC 2021-21 Proof 5
CHMMC 2021-21 Proof 5
Source:
September 1, 2022
algebra
Problem Statement
Find all functions
f
:
R
ā
R
f : R \to R
f
:
R
ā
R
such that
f
(
f
(
x
)
+
f
(
y
)
2
)
=
f
(
x
)
2
+
y
2
f
(
y
)
3
.
f(f(x) + f(y)^2) = f(x)^2 +y^2f(y)^3.
f
(
f
(
x
)
+
f
(
y
)
2
)
=
f
(
x
)
2
+
y
2
f
(
y
)
3
.
Here
R
R
R
denotes the usual real numbers.
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