00:01
So in this problem, we're given the function f of x is equal to the square of x plus the square of the 3 minus x, and we're looking for the domain.
00:08
So we're going to look at both of these parts separately.
00:10
So let's start with the square root.
00:12
Because it's a square root, we know that inside the radical has to be positive, meaning that x has to be greater than or equal to zero.
00:19
So that's the domain for the first part.
00:22
Now let's look at the second radical, the square of the 3 minus x.
00:26
Again, this also has to be greater than it equal to 0 because it has to be positive.
00:30
So when we solve, i'm going to subtract 3 for both sides.
00:35
So i'll have negative x is greater than or equal to negative 3...
