If $A=\begin{bmatrix}1&-2\\4&5\end{bmatrix}$ and $f(1)=t^2-3t+7$ then $f(A)+\begin{bmatrix}3&6\\-12&-9\end{bmatrix}$ is equal to

Question

$\begin{array}{1 1}(a)\;\begin{bmatrix}1&0\\0&1\end{bmatrix}&(b)\;\begin{bmatrix}0&0\\0&0\end{bmatrix}\\(c)\;\begin{bmatrix}0 &1\\1&0\end{bmatrix}&(d)\;\begin{bmatrix}1&1\\0&0\end{bmatrix}\end{array}$