I'm trying to make a function that uses another monadic function inside a preexisting monad, and I'm having trouble.
Basically my problem boils down to this. I have three monadic functions with the following types:
f :: A -> M B
g :: B -> N C
h :: C -> M D
(M and N are in the monad class)
I want a function i where
i :: A -> M (N D)

the best I can come up with is:
i :: A -> M (N (M D))
i a = liftM (liftM h) =<< (return . g) (f a)

I'm starting to feel pretty sure that what I'm going for is impossible. Is this the case?