Transfer function G(s) has the pole-zero as shown in the

Transfer function G(s) has the pole-zero as shown in the given figure. Given that the steady state gain is 2, the transfer function G(s) will be given by—

Here there are 2 pole and 1 zero.
Let the transfer function G (s) of the type

G (s) =	K(s + 1)
	(s + 2 + j) (s + 2 – j)

or G (s) =	K(s + 1)	=	K(s + 1)
	(s + 2)² – j²		s² + 4s + 5

Also given that steady state gain is 2.

i.e., G (0) = 2 =	K (0 + 1)
	0² + 4·0 + 5

or
K = 10
Now,

the T.F. G (s) =	10 (s + 1)
	s² + 4s + 5