# 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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