[Haskell-beginners] Change in type that I don't understand

Hi, Here is something that I don't understand, why does the named value have a different type than just the value itself? Prelude> let f x = x * x Prelude> :t f f :: Num a => a -> a Prelude> :t [f] [f] :: Num a => [a -> a] Prelude> let g = [f] Prelude> :t g g :: [Integer -> Integer] = jem