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The state equation and the output equation of a control system are given below:

$\dot{x}=\begin{bmatrix} -4 & -1.5\\ 4& 0 \end{bmatrix}x+\begin{bmatrix} 2\\ 0 \end{bmatrix}u,$

$y=\begin{bmatrix} 1.5 & 0.625 \end{bmatrix}x.$

The transfer function representation of the system is 

  1. $\dfrac{3s+5}{s^{2}+4s+6}$
  2. $\dfrac{3s-1.875}{s^{2}+4s+6}$
  3. $\dfrac{4s+1.5}{s^{2}+4s+6}$
  4. $\dfrac{6s+5}{s^{2}+4s+6}$
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