00:01
And this problem you're asked to find the domain.
00:06
One of the obvious things you can start with is that you need to look at what values of x can't use.
00:15
Just remember that the domain is essentially what values can you put in for your x.
00:22
And in this equation, you should be able to put in all values of x, so all real numbers, but you'll have some limits.
00:31
So what things are not allowed? well, first of all, you can't have a zero on the bottom of the fraction.
00:38
So if you just consider 1 over x, you can't have 0 down here or the fraction is undefined.
00:46
So we can already say x cannot equal 0.
00:50
Okay? the 8 over x squared is going to be the same thing.
00:54
You can't have zero down here.
00:56
So the only way that that will be 0 is if x is 0.
00:58
So again, you can't have x equal 0.
01:01
So x is not equal to zero for those.
01:04
But the other thing you need to take in consideration is, is it possible for the entire bottom of this fraction to be zero? and so you want to take 2 minus 8 over x squared and set it equal to 0 and see if there's a value that will make that statement true.
01:24
And so what i would do is i'd add the 8 over x squared to both sides.
01:33
So plus 8 over x squared, plus 8 over x squared...