Functions create confusion

Algebra Level 4

Suppose \(f(x)\) is a rational function such that \(3 f \left(\dfrac{1}{x} \right) + \dfrac{2 f(x)}{x} = x^2\) for \(x \not= 0\). Then \(\large f(-2) = {A}\). Find \(\large \left \lfloor {100 A} \right \rfloor\), where \(\lfloor \cdot \rfloor\) denotes the floor function.

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