If $g(x)=x^2+x-2\:\:and\:\:\large\frac{1}{2}$$gof(x)=2x^2-5x+2$ then $ f(x)= ?$

Question

(A) $2x-3$ (B) $2x+3$ (C) $2x^2+3x+1$ (D) $2x^2-3x-1$