The compose function is called B or "The Bluebird" in Combinatory Logic

bluebird.js

function bluebird (a) {
  return function (b) {
    return function (c) {
      return a(b(c))
    }
  }
}

function hard (str) { return "hard " + str }
function rock (str) { return "rock " + str }

hard(rock('city'))
  //=> "hard rock city"

var hardrock = bluebird(hard)(rock);

hardrock('city')
  //=> "hard rock city"