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Swedish Mathematical Competition
1989 Swedish Mathematical Competition
2
2
Part of
1989 Swedish Mathematical Competition
Problems
(1)
f(x)+ f(x^2) = 0
Source: 1989 Swedish Mathematical Competition p2
3/28/2021
Find all continuous functions
f
f
f
such that
f
(
x
)
+
f
(
x
2
)
=
0
f(x)+ f(x^2) = 0
f
(
x
)
+
f
(
x
2
)
=
0
for all real numbers
x
x
x
.
continuous
functional equation
functional
algebra