Two Fun(ctional) Questions

Consider the following series of functions:

def x(a):
    if callable(a):
        return lambda i: a(i)
    else:
        return a

then

def x(a):
    def xx(b):
        if callable(b):
            return lambda i: a(b(i))
        else:
            return a(b)
    return xx

then

def x(a):
    def xx(b):
        if callable(b):
            def xxx(c):
                if callable(c):
                    return lambda i: a(b(c(i)))
                else:
                    return a(b(c))
            return xxx
        else:
            return a(b)
    return xx

and so on...

Two questions:

• how would you write a single recursive or iterative version of this that could handle cases of any depth?
• what would you call what this function x is doing?