 In this video, we provide the solution to question number six for the practice final exam for math 1050. We're given two functions, capital F of x, which looks like 1 over x squared plus 1, and little g of x, which is x squared plus 1. We're supposed to find the little function f, such that capital F of x is little f composed with little g. So remember that this composition notation, this little circle, represents that g of x is put inside of f. So we're looking at capital F here. Where do we find a little g? Well, little g is x squared plus 1. So we can see there's an x squared plus 1 here in the denominator. So what appears to have happened is that we take f to be actually, what we have right here, 1 over x. Notice, if you take that as your choice for f, if we put g of x inside of that, right, f of x squared plus 1 would look like 1 over x squared plus 1, which is exactly capital F of x. So therefore, the correct answer would then be choice A.