00:01
Okay, so we have this function g of x equals x over x squared minus 16, and we want to find the domain of this function.
00:09
Okay, so here on top we have an x.
00:11
This isn't going to cause us an issue because we can plug in any value of x here and we'll be fine.
00:16
On the bottom, we have x squared minus 16, and what we don't want to do is divide by zero.
00:21
So we don't want this quantity on the bottom to be equal to zero.
00:25
So let's write this.
00:26
We don't want x squared minus 16.
00:31
Equals 0.
00:33
So our goal is to find the values of x such that this quantity is equal to 0 and then rule these values 8.
00:40
So if we look at x squared minus 16 equals 0, or we can factor x squared minus 16, this is the same as x minus 4, x plus 4 equals 0.
00:54
So the values are x equals 4 and x equals minus 4.
00:58
So these are the values we don't want.
01:01
So let's write this clearly...