Question

$$(og)(x)=(g(x))=2x-3$$

Evaluate (complex solution)

$gox=gx\text{ and }gx=2x-3$

Solve for x

$\left\{\begin{matrix}x=\frac{3}{2}=1.5\text{, }&g=0\\x=-\frac{3}{g-2}\text{, }&o=1\text{ and }g\neq 2\end{matrix}\right.$

Solve for o

$\left\{\begin{matrix}o=1\text{, }&g=2-\frac{3}{x}\text{ and }x\neq 0\\o\in \mathrm{R}\text{, }&x=\frac{3}{2}\text{ and }g=0\end{matrix}\right.$