Question: Determine whether or not g is continuous at x = 1, where

\[g\left( x \right)=\left\{ \begin{aligned} & -2x+3\,\,\,\,\,\,\,\,\,\,\,\text{if }x<1 \\ & {{x}^{2\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,}}\,\,\,\,\,\,\,\,\,\text{if }x\ge 1 \\ \end{aligned} \right.\]