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MathNet 2008-part-03 — 165 problems (EN–VI) Question 143

Math Olympiad Vault · MathNet 2008-part-03 — 165 problems (EN–VI)

Question 143

Among the functions $f(x)=\frac{a x^{2}+b x+8}{(x+c)^{2}}$ choose the one that has the domain $\mathrm{D}_{f}=(-\infty, 1) \cup(1, \infty)$, the zero $2$ and the asymptote $y=0$.