(hog)(x) = h(g(x))
let g(x) = x or just about anything
and let h(x) = 1/x(0)
h(g(x)) = 1/x(0) = 1/0 which is undefined
at least it has no real solution. It does have "surreal" solutions, infinity or -infinity, but they are not real numbers. They have a "surreal" existence.