Question 997491
{{{Sqrt( x^2 - 2x)/ x-4}}}


factorize, {{{sqrt(x(x-2))/x-4}}}


The domain includes the real numbers   {{{x>2}}}.
You must have {{{x(x-2)>0}}} and critical values for this are at 0 and 2.  Zero is not acceptable.  x can be negative but now, domain must be the set of real numbers  {{{x<0}}} and {{{x>=2}}}.


Domain is  {{{x<0}}} and {{{x>=2}}}.