Obtain discrete transfer function G$($z$),$ when G$($s$)$ is given: An s$-$domain transfer function is give as:

$()=100$

$($

$+1)$

$10$

$1.$ Is this transfer function a low pass or high pass filter? Why?

$2.$ Find the discrete domain transfer function G$($z$)$ if the signal is sampled at $10$ Hz$.$ Use Tustin$$s Method.

$3.$ Is the system stable in the discrete domain? Give a reason with numbers.