00:01
So we'll start with f of x, equalling x squared plus 1, and then we've got that g of x being x squared minus 3.
00:11
So let's find our compositions.
00:13
So we'll find f following g of x, which is f of g of x, which is f of g of x, and our g of x function is x squared minus 3.
00:31
And what does our f function do? well, it takes the input, it squares it, and adds on one.
00:36
So we need to have it square the input and add on one.
00:40
And that input is x squared minus 3.
00:44
So let's simplify that.
00:46
And we get, when we square this, i guess i don't need that little parentheses there.
00:52
We have x to the fourth minus 6x squared plus 9.
00:59
That's what we get when we square that plus 1.
01:03
So we'll have x to the fourth minus 6x squared plus 10.
01:10
Now i'm going to do something out of order.
01:13
Let's find c...