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

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Answer 1 · 2015-06-08T07:37:08

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:

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

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

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