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Mathematics
Mathematics
Problem
Let
f
:
(
0
,
∞
)
→
R
f:(0, \infty) \rightarrow \mathbb{R}
f
:
(
0
,
∞
)
→
R
satisfy
f
(
x
)
+
2
f
(
2002
x
)
=
3
x
(
x
>
0
)
f(x)+2 f\left(\frac{2002}{x}\right)=3 x \quad(x>0)
f
(
x
)
+
2
f
(
x
2002
)
=
3
x
(
x
>
0
)
Find
f
(
2
)
f(2)
f
(
2
)
.
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