Question

Z-transform:
the Z-transform function for a stable system is
\[\Large H(z)=\frac{ 2-\frac{ 3 }{ 2 }z^{-1} }{ (1-2z^{-1})(1+\frac{ 1 }{ 2 } z^{-1})}\\Then~Impulse~response~of~the~system~denoted~by~~~\Large h[n]=?\]

Answer 1

ROC of the system should be
\[R_{x}:\frac{ 1 }{ 2 }<|z|<1\]
is'nt it?

Answer 2

is it ok?