00:01
We have the following function and we need to find this domain.
00:03
So first thing is the following square root, which means why we have the following score root, and whatever under the square root has to be non -negative.
00:15
So this is one part of our domain.
00:17
We also have an ln.
00:19
And for an ln, what we have inside of it has to be positive.
00:24
So x plus y has to be also greater than 0.
00:28
Now if i add on the two, i figure out that 2y, must be greater than 0 or y has to be greater than 0.
00:46
But that's not the point because if i move my y over, i'm going to have negative x must be equal to y, negative y, excuse me, and x also has to be greater than y, which means if i add the two equations, i get 0 must be greater than negative 2y, and i'm going to have zero must be less than y.
01:24
So we are getting the same answers here.
01:30
But the best way to not deal with this is to just go to graph it.
01:33
See what we get.
01:34
So y minus x must be grade in equal to zero...