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.
by
Samara Simha Reddy