00:01
So for this problem, we're given these two functions, and it wants us to find f of g of x, which means i'm plugging g of x into f of x for x, and then it wants us to find the domain.
00:12
So basically i'm plugging this function in for x in every part of the function.
00:19
So f of g is going to be on the top.
00:24
I have an x, so x plus 5 over x minus 3, divided by, and then i would have x plus five over x minus three minus two.
00:44
Okay, so from here, what i want to do is go ahead and multiply.
00:50
Well, first i want to get these together.
00:52
So i'm going to go ahead and multiply this negative 2 by x minus 3 over x minus 3.
01:00
So then i could go ahead and combine these two together.
01:03
So i'm going to just take this part of the problem and move over here...