00:01
So in this problem, we have to find four functions and their domains.
00:05
F plus g, f minus g, f times g, and f divided by g.
00:11
So let's begin by finding f plus g of x.
00:18
So we're adding together to x squared plus x squared plus 1, which is 3x squared plus 1.
00:31
So this is our function.
00:35
And since this is a parabola in terms of x, we have no domain our domain is negative infinity to infinity.
00:46
Next we will do f minus g.
00:55
So we're doing 2x squared minus the quantity x squared plus 1.
01:03
And so that gets us x squared minus 1 as our answer.
01:10
That's an ugly square.
01:13
Okay, great.
01:14
And then again this is a parabola, so we're not going to have any domain restrictions here.
01:19
So negative infinity to infinity.
01:26
All right.
01:27
And then we will move on to f times three of x...