00:01
Okay, the first thing we have to do in this, we have to do three things in this one, find the domain, find one of the function equals one, and the points on the graph when the function equals one.
00:08
So the first thing we're going to do is we're going to factor that denominator.
00:13
It's going to help us find our domain.
00:15
So x squared minus 2, x minus 3.
00:19
Factors of 3 are 1 times 3.
00:22
They do subtract to give us 2.
00:28
So we need a negative 3 and a positive 1.
00:31
So we get x plus 1, and then x minus 3.
00:37
So your simplified function.
00:48
Now, before we simplified any further, we're going to go ahead and determine, find our domain.
00:54
So your domain, when you have a rational function, in math, we cannot divide by 0.
00:59
So you always set your denominators, and whether it's 1 or 2, you set both of them equal to 0 and solve.
01:10
And those are the values where x would be 0.
01:14
That you cannot include in your domain.
01:18
So we're going to get negative 1 and positive 3...