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16
functional equation
functional equation
Source:
November 14, 2012
function
algebra unsolved
algebra
Problem Statement
Define functions
f
,
g
:
R
ā
R
f,g: \mathbb{R}\to \mathbb{R}
f
,
g
:
R
ā
R
,
g
g
g
is injective, satisfy:
f
(
g
(
x
)
+
y
)
=
g
(
f
(
y
)
+
x
)
f(g(x)+y)=g(f(y)+x)
f
(
g
(
x
)
+
y
)
=
g
(
f
(
y
)
+
x
)
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