00:01
So in this problem, we're going to use these given functions, f and g, to find f plus g, f minus g, f times g, and f divided by g, and their domains.
00:11
So let's begin by finding f plus g of x.
00:17
So we add together 3x and x squared plus 4.
00:25
Usually when we have a square term, we like to write it in front with the powers in descending order.
00:30
So it's typical to write this as x squared plus 3x plus 4.
00:36
Though addition is commutative, so any order would be accurate.
00:40
So this is our expression.
00:43
And then since this is a quadratic in terms of x, we have no domain restrictions.
00:49
Our domain is negative infinity to infinity.
00:56
All right, then we'll do f minus g.
01:01
So we have 3x, and we're subtracting x squared plus.
01:06
4.
01:09
And so again, if we want to write it in typical order, we have negative x squared plus 3x minus 4.
01:21
And we have no restrictions on x here, so our domain is still negative infinity to infinity.
01:32
All right, and now f times jave x...