Answer
The domain is all real numbers except $x\ne0$, $x\ne-2$, and $x\ne1$.
Work Step by Step
Restrictions in a domain occur when any value of $x$ results in an zero in the denominator. To find this value, set the expression in the denominator equal to zero, and solve.
$x^{3}+x^{2}-2x=0$
$(x)(x+2)(x-1)=0$ Factor and solve
$x=0$, $x=-2$, and $x=1$
Thus, the domain is all real numbers except $x\ne0$, $x\ne-2$, and $x\ne1$.
