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MathNet 1998 — Part 01 Question 91

Math Olympiad Vault · MathNet 1998 — Part 01

Question 91

Suppose $f(x)$ is a rational function such that $3 f\left(\frac{1}{x}\right)+\frac{2 f(x)}{x}=x^{2}$ for $x \neq 0$. Find $f(-2)$.