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MathNet 2026 — Part 07 Question 69

Math Olympiad Vault · MathNet 2026 — Part 07

Question 69

If $x^{6}=64$ and $\left(\frac{2}{x}-\frac{x}{2}\right)^{2}=b$, then a function $f$ that satisfies $f(b+1)=0$ is
  1. $f(x)=1-2^{x-1}$
  2. $f(x)=x^{2}+x$
  3. $f(x)=2^{x-1}$
  4. $f(x)=2 x-1$