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MathNet 2026 — Part 07 Question 177

Math Olympiad Vault · MathNet 2026 — Part 07

Question 177

Find the range of the function $f(x) = \frac{6}{5 \sqrt{x^{2} - 10x + 29} - 2}$.
  1. $[-1/2, 3/4]$
  2. $(0, 3/4]$
  3. $(1/2, 4/3]$
  4. $[-1/2, 0) \cup (0, 4/3]$