00:01
So suppose i wanted to find g of f of 2.
00:02
This is what's known as a composition of functions.
00:06
I'm plugging one function into another.
00:08
And the way to solve it is i go to my innermost function first, right? what is f of 2? so looking at my function f, i look for where x equals 2, which is approximately here, and i go up to find that point at 2, and i figure out what the y value is, and this y value will be 1.
00:25
So f of 2 equals 1.
00:29
Now i have the innermost function, now i go to g, and i'm finding g at 1.
00:33
So i look at my one value, go up, figure out what my y value is.
00:39
This will be 2.
00:40
So my final answer will be 2.
00:43
Now let's try a different one.
00:45
Let's find f of g of 4...