 In this video, we provide the solution to question number nine for the practice exam number one for math 1050. We are given the function capital F of x, which is the fourth root of x squared plus one, and we're told that little f of x is the fourth root of x. Notice here how there's little f and capital F. Mathematics, symbols are case sensitive. Little f and capital F are, in fact, different functions. What we're asked to do is to find the function g of x so that f composed with g is equal to capital F. So what do we put inside? Because remember f of g of x here is f of g of x, right? The way we say it is how we also write it here too. And f of x is the fourth root of g of x, and this is supposed to equal capital F of x. So the idea here is what goes inside of the fourth root. And we can see that very clearly right here. The thing that goes inside of the fourth root is x squared plus one. So that's what g has to be. It's got to be x squared plus one. So we see g of x is in fact equal to choice D.