To add to that from someone who went into programming after math grad school, composition is actually much more natural in the way to think about functions. When putting together functions, and where they map to, it is more natural to think about functions the way Haskell thinks about them, but more natural when writing them to go the other way at first. This is because when one is working at the lower level of just writing code it becomes easier to move from one data state to another, but at the high level, you lose some flexibility in seeing the high level structure and it becomes more difficult to figure out how to move things around if it turns out you have to modify the code.

In math, the preferred way of writing functions is via composition, as then it enables tools of visualization such as commutative diagrams. One thing to note is that in general mathematicians have a history of picking the right choice in notations for thinking about abstractions at an intuitive level in the world of mathematics (when there is a choice and it matters), and IMO they were correct about how they chose to represent function composition, although it is not immediately obvious unless you start talking about function domains and ranges - the composition notation matches the flow of reading how functions map values from one set to another.

That Clojure version reads like a complete mess to me personally.