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2000 AMC 10 Problem 24

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2000 AMC 10 Problem 24AMC 10 Step by Step
Name:                             Date: October 28, 2026
Functions · difficulty 4 of 5 · about 5 min · position P21-25

Let ff be a function for which f(x3)=x2+x+1f\left(\dfrac{x}{3}\right) = x^2 + x + 1 . Find the sum of all values of zz for which f(3z)=7f(3z) = 7 .

  1. A)−1/3-1/3
  2. B)−1/9-1/9
  3. C)00
  4. D)5/95/9
  5. E)5/35/3

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