Describe the domain in interval notation and identify any discontinuities (if they exist). g(x)=9/x-3

interval-notation

#1

Describe the domain in interval notation and identify any discontinuities (if they exist).

g(x)=9/x-3

Answer:

Assuming the problem is actually 9/(x-3)
Domain: (−∞,3)U(3,∞)
The discontinuity is at x=3 because there is a nonremovable discontinuity (a vertical asymtote) at x=3