00:01
So in this question, they say, i want to find x1 and x2, where the function f of x is discontinuous if they exist, supposing the x1 is less than x2, and we're going to classify each of the discontinuities.
00:15
So how do i start doing something like this? i start by completely factoring my numerator and my denominator.
00:24
So let's see.
00:26
So my numerator, that's going to factor, i believe, as that's the number.
00:31
The quantity of x plus 8 times the quantity of x minus 1.
00:36
If i were to multiply out the quantity of x plus 8 times the quantity of x minus 1, i get x squared plus 7x minus 8.
00:45
In my denominator, this guy is going to factor as the quantity of x plus 11 times the quantity of x minus 1.
00:56
If i multiply out the quantity of x plus 11 times the quantity of x minus 1 ,000, times the quantity i get x squared plus 10x minus 11.
01:07
Now, if i'm looking for my discontinuities, where do they occur? so my discontinuities occur whenever my denominator is equal to zero.
01:21
So we're going to have discontinuities when the quantity of x plus 11 times the quantity of x minus 1 is equal to zero...