Answer
D=(-$\infty$,-3) U (-3,2) U (2,3) U (3,$\infty$)
Work Step by Step
x$^3$-2x$^2$-9x+18$\ne$0
x$^2$(x-2)-9(x-2)$\ne$0
(x$^2$-9)(x-2)$\ne$0
(x+3)(x-3)(x-2)$\ne$0
x$\ne$-3, 2, or 3
Therefore, the domain includes all real numbers except -3, 2 or 3.