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Mathematics
Mathematics
Problem
Determine all function
f
f
f
satisfying the functional relation
2
f
(
x
)
+
3
f
(
2007
x
+
150
145
x
−
2007
)
=
435
x
2
−
2007
x
+
300
145
x
−
2007
,
∀
x
∈
R
−
{
2007
145
}
2f(x) + 3f\left(\frac{2007x + 150}{145x - 2007}\right) = \frac{435x^2 - 2007x + 300}{145x - 2007}, \quad \forall x \in \mathbb{R} - \left\{\frac{2007}{145}\right\}
2
f
(
x
)
+
3
f
(
145
x
−
2007
2007
x
+
150
)
=
145
x
−
2007
435
x
2
−
2007
x
+
300
,
∀
x
∈
R
−
{
145
2007
}
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