MathDB
Quadratic Function

Source:

March 21, 2008
quadraticsfunction

Problem Statement

Let f f be a function for which f(x/3) \equal{} x^2 \plus{} x \plus{} 1. Find the sum of all values of z z for which f(3z) \equal{} 7. (A)\ \minus{} 1/3 \qquad (B)\ \minus{} 1/9 \qquad (C)\ 0 \qquad (D)\ 5/9 \qquad (E)\ 5/3