Given the function h(x) = |x2 − 9| / (x2 − 9) , find the domain of h

Question

Wouldn't the domain be x = x/- 3

so the interval notation would be [3,0) U [-3,0)

Answer 1

domain is all real numbers except 3 and -3

domain is any x value except ones that make the denominator = 0, only two x values do that, 3 and -3

domain is -3<x<3 and -infinity<x<-3 and 3<x < infinity

or in interval notation

(-infinity, -3) U (-3,3) U (3, infinity)

Answer 2