AMC 10 Step by Step
Log inSign up
Printable

2000 AMC 10 Problem 24

Include the solutionBack to the problem
2000 AMC 10 Problem 24AMC 10 Step by Step
Name:                             Date: September 13, 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

Working