00:01
So in this problem, we're going to be finding the four functions, f plus g, f minus g, f times g, and f divided by g.
00:10
And then we'll also find the domains of these functions.
00:13
So let's begin by finding f plus g.
00:18
So f plus g of x means we're adding together, 3x plus x minus 2, which gets us 4x minus 2.
00:32
And this linear function has no domain restrictions, so our domain is negative infinity to infinity.
00:43
Then let's do f minus g of x.
00:51
So we're doing 3x minus the quantity x minus 2.
00:56
So that gets us 2x plus 2 as our function.
01:03
And this linear function has no domain restrictions.
01:07
Our domain is negative infinity to infinity.
01:10
All right.
01:14
Now we'll do f times g of x.
01:22
So we are doing 3x times x minus 2...