8/x-9 interval notation

Question

determine the domain of the rational function. answer using interval notation

 

Answer 1

8/(x-9)

 

This rational expression is valid for all values of x except x = 9.  At x = 9, the denominator becomes zero and dividing by zero is undefined.  In interval notation, the domain is:

 

(-∞,9)U(9,∞)