Curry: f(x, y) = f(x)(y)
For cookies, whip butter with sugar. Curried version: whip /f/ the butter /x/, then whip the result while adding sugar /y/.
Composition: f ⭘ g = f(g(x))
To produce nicely shaped cookies, shape the cookies /x/ on a tray first /g/, then bake them /f/.