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.