関数型プログラミング言語Haskell Part34

教科書の通りなのになんでエラーになるんだろう？
code:
fork :: (a->b, a->c) -> a -> (b, c)
fork (f, g) h = fork (f h, g h)
main :: IO ()
main = do
print $ fork (map fst, map snd) (zip [0 .. 4] "hallo")

Output:
Error occurred
ERROR line 2 - Type error in explicitly typed binding
*** Term : fork
*** Type : (a -> b -> c,a -> b -> d) -> a -> b -> (c,d)
*** Does not match : (a -> b -> c,a -> b -> d) -> a -> (b -> c,b -> d)