since closed loop TF with unity -ve feedback [H(s)=1] is given. So G/(1+G) = (s+4)/(s^2+7s+13)
so we will get G = (s+4)/(s+3)^2.
Now Open loop TF is G(s)H(s) = G = (s+4)/(s+3)^2.
Thus Open Loop DC Gain = GH at w=0 i.e. @ s=0
So Open Loop DC Gain = 4/9