# How do you find the points of discontinuity of #y = ((x - 1)(x + 3)) / ((x + 3)(x - 5))#?

##### 1 Answer

Jun 8, 2015

The points of discontinuity are where the function does not exists in its domain. So you have to be careful of discontinuities when you have:

- Denominator
#=0# - Square root arguments
#<0# - Logarithm arguments
#<=0#

In this case the function is discontinuous in two points:

graph{y=(x^2-2x+3)/((x+3)(x-5)) [-8, 12, -15, 10]}