I need help finding the domain of this equation and the new solution to compare them. (1/(x-1)-3/(x^3-1)-2/(x^2+x+1))*(x+ (x+1)/x)

I have the answer as 1, but I'm trying to compare the domains.

In the original, it's x less than zero, x greater than zero and less than one, and x greater than 1

In the new, it's x=AllRealNumbers.

I tried x≠0 (even adding on x≠1). I don't what to fill in for the domain comparison

My problem's answer section says "___, if ___."