Multiplication is Superfunction

Theorem
The function $f : \C \to \C$, defined as
 * $f \left({ z }\right) = z \times c$

is a superfunction for any complex number $c$.

Proof
Define $h : \C \to \C$ by $h \left({ z }\right) = z + c$. Then

Thus $f \left({ z }\right) = z \times c$ is a superfunction and $h \left({ z }\right) = z + c$ is the corresponding transfer function.