Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -3x2 + 6x + 9

nothing showing to select from , so let's just solve it

-3x^2 + 6x + 9 = 0
x^2 - 2x - 3 = 0 , after dividing by -3
(x-3)(x+1) = 0

x = 3 or x = -1

this must be one of your choices