00:01
To find the domain of this function, we can split it into two parts and then combine the domains.
00:06
So first, let's find the domain of square root of x plus 4.
00:10
Because we know that we cannot have a negative, we can say x plus 4 greater than 0 and solve for x.
00:26
So let's subtract 4 from both sides.
00:30
And we have x is greater than negative 4.
00:35
So that's the domain for the first part.
00:37
So now we must find the domain of the second part, which is square root of 1 minus x over x.
00:49
So same thing.
00:50
We know that we cannot have a negative under the radical.
00:53
So let's set 1 minus x is greater than 0.
00:59
Let's add x to both sides.
01:03
One is greater than x.
01:04
Or you can flip in and say x is less than 1.
01:08
So that's the domain for this part.
01:09
But we also must not forget that we cannot have a zero in the denominator...
