join is defined along with bind to flatten the combined data structure into single structure.
From type system view, (+) 7 :: Num a =>
An intuition about join is that is squashes 2 containers into one. .e.g
join [[1]] => [1]
join (Just (Just 1)) => 1
join (a christmas tree decorated with small cristmas tree) => a cristmas tree
etc ...
Now, how can you join functions ? In fact functions, can be seen as a container.
If you look at a Hash table for example. You give a key and you get a value (or not). It's a function key -> value (or if you prefer key -> Maybe value).
So how would you join 2 HashMap ?
Let's say I have (in python style) h={"a": {"a": 1, "b": 2}, "b" : {"a" : 10, "b" : 20 }} how can I join it, or if you prefer flatten it ?
Given "a" which value should I get ? h["a"] gives me {"a":1, "b":2}. The only thing I can do with it is to find "a" again in this new value, which gives me 1.
Therefore join h equals to {"a":1, "b":20}.
It's the same for a function.