Question 805664
The numerator tells you that {{{-4<=x<=4}}}.
The denominator tells you that {{{x<-1}}} OR {{{x>-1}}}.


View these on a number line for a good visual sense.  Once you have done that and studied it, continue...



Domain is  {{{highlight(-4<=x<-1)}}}  OR  {{{highlight(1<x<=4)}}}


Actually, the domain would be a set of numbers, so you want to include ALL of the numbers.  The "OR" is not really needed.  The domain is all real numbers in {{{-4<=x<1}}} and {{{1<x<=4}}}.