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1
A functional relation. - compute f(2004).
A functional relation. - compute f(2004).
Source: Costarrican Math Olympiad 2006 - Problem 4.
May 20, 2006
function
Problem Statement
Let
f
f
f
be a function that satisfies :
f
(
x
)
+
2
f
(
x
+
2001
2
x
−
1
)
=
4014
−
x
.
\displaystyle f(x)+2f\left(\frac{x+\frac{2001}2}{x-1}\right) = 4014-x.
f
(
x
)
+
2
f
(
x
−
1
x
+
2
2001
)
=
4014
−
x
.
Find
f
(
2004
)
f(2004)
f
(
2004
)
.
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