00:01
Okay, so f plus g.
00:04
So that's going to be the square root of 36 minus x squared plus the square root of x plus 3.
00:15
Those radicals are not the same, so you can't combine them.
00:25
So i would leave it like it is.
00:32
The domain, you can't have a negative under the radical.
00:42
So 36 minus x squared.
00:47
Would have to be greater than zero, or equal to, it can be equal.
00:58
So, subtract 36.
01:01
So negative x squared is greater than or equal to negative 36.
01:07
Divide by that negative, which will make it x squared is less than or equal to 36, square root both sides.
01:16
So x is less than or equal to positive or negative.
01:20
6.
01:24
Okay, so, and then we've got the 3, so x plus 3 has to be greater than or equal to 0, so x is greater than or equal to negative 3.
01:40
But i'm pretty sure if i have negative, so when i split that up, x has to be less than or equal to 6, but x has to be greater than or equal to negative 6.
02:21
So the domain for this is going to be from negative 6 to negative 3.
02:37
And it can equal negative 3.
02:47
That can't be right...