How to find the inverse z-transformation of this function?

Question

This is the function:

$\frac{23}{4z-1}$

So far I learned how to find the inverse z-transformation by referring to a given formula sheet that contains the inverse z-transformations for different functions; however, I cannot find an inverse z transformation for a function in this form, i.e., it does not have a z in the numerator.

I also cannot find the inverse z-transformation of this function:

$\frac{11}{(2z-1)^2}$

Edit: I understood how to find the I.Z.T. of $\frac{23}{4z-1}$, but I still cannot find the I.Z.T. of $\frac{11}{(2z-1)^2}$

Answer 1

$ x(n) \iff X(z)$

Differentiating w.r.t $ z$

$ nx(n) \iff \frac {dX(z)}{dz}$

So,

$ \frac{11}{(2z-1)^2} = \frac{d}{dz} (\frac{-5.5}{2z-1})$