00:01
So we want to find the domain of this function.
00:03
All right.
00:04
So there's a couple clues here.
00:07
So everything's multiplied.
00:13
I do that's not true.
00:14
They're added.
00:20
All right.
00:21
So the domain of the whole thing is going to be the domain of each individual part.
00:27
So this part tells us that the absolute value of x has to be bigger than or equal to nine.
00:38
Because if it's less than that, then you're going to get the.
00:42
Square root of a negative number.
00:47
This part tells us that x is not equal to 19 or minus 19, because then the denominator would be zero.
01:02
If it, at minus 19, it would be zero.
01:06
And then this term, or the cube here, this part tells us x is not equal to 14 or zero.
01:22
Okay.
01:26
So i'm going to tell you the zero is already ruled out from absolute value of x is greater than or equal to 19...