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MathNet 2009-part-03 — 175 problems (EN–VI) Question 71

Math Olympiad Vault · MathNet 2009-part-03 — 175 problems (EN–VI)

Question 71

Let $y = \left(1 + e^{x}\right)\left(e^{x} - 6\right)^{-1}$. If the values of $x$ run through all real numbers, determine the values of $y$.