Mathematics

Mathematics

Problem

Determine all function ff satisfying the functional relation 2f(x)+3f(2007x+150145x−2007)=435x2−2007x+300145x−2007,∀x∈R−{2007145}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\}

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