00:01
Okay, for this problem right here, we need to talk about the composition of functions.
00:05
Now, there's lots of different right ways to answer this.
00:08
So let's just say we have some composition.
00:12
Let's go ahead and say it's f of g of x right here.
00:17
So what that means is we're going to take, it's read the same way, f of g of x, right here.
00:25
So the idea is we're going to take some input x, we're going to get an output in g, and then we're going to plug that into the f function to get out another one.
00:37
One common representation of this is with function machines right here.
00:43
So if i have some kind of a function, i'm going to name f, and i have some function i'm going to name g right here.
00:52
If i plug in x, what comes out of x is g of x.
01:00
And then if i plug that into the f function, we get f of whatever i plugged in, which is g of x, right here...