00:01
So for problem number nine, we are asked to simplify the function or the expression and also to find the numbers that need to be excluded from the domain.
00:09
So we are given x squared minus 12x plus 36 all over 4x, 4x minus 24.
00:26
So this problem is just a little bit different.
00:28
The first thing that we're going to do is simplify the expression first because we have our largest, we have the most terms in our numerator.
00:40
So let's just go ahead and factor both top and bottom first.
00:45
So if we're going to factor x squared minus 12x plus 36, again, you can use that little trick of need to find two numbers that multiply together to give you 36 while also adding together to give you negative 12.
00:57
And that, of course, is going to be negative 6 and negative of 6.
01:02
So our top, our numerator, will factor to be x minus 6 and x minus 6.
01:11
And then our denominator...