Question 150264
{{{f(x)=(x^3-x^2-2x+2)/(x^2-1)}}}
The domain is all x where f(x) is defined.
This function, f(x), is undefined when the denominator equals zero.
{{{x^2-1=0}}}
{{{x^2=1}}}
{{{x=1}}} and {{{x=-1}}}
Therefore the domain is ({{{-infinity}}},{{{infinity}}}) with the exceptions of x=1 and x=-1. 
More formally,
({{{-infinity}}},{{{-1}}})U({{{-1}}},{{{1}}})U({{{1}}},{{{infinity}}})
where the open parentheses signifies that the value is not included.