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

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$\le 0$

In this case the function is discontinuous in two points:
$x = - 3$ and $x = 5$.

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