00:01
So in this problem, we'll use these functions, f and g, to find f of g of x and g of x, as well as their domains.
00:09
So first, let's begin by finding f of g of x.
00:15
So that means we're taking g of x, and we're plugging it in to f.
00:22
So we're substituting in for x here.
00:26
So when we do that, we have the absolute value of 2x plus 3, plus 1, and combining like terms, the absolute value of 2x plus 4.
00:42
So this is our function.
00:45
And then for domain, there are no restrictions on x.
00:50
We can take the absolute value of any number that we like...