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MathNet 2021 — Part 08 Question 60

Math Olympiad Vault · MathNet 2021 — Part 08

Question 60

For which values of the parameter $a\in\mathbb R$ is the function $f(x)=\log\left(x^2+(a+4)x+9\right)$ defined for every real number $x$?
  1. $a\lt2$
  2. $a\gt-10$
  3. $-2\lt a\lt10$
  4. $-10\lt a\lt2$
  5. $a=-4$