Answer
does not exist, $(+\infty)$
Work Step by Step
The graph is a curve that rises without bound
as x moves to the far left ($ x\rightarrow-\infty$),
(the function values get larger and larger)
so the limit $\displaystyle \lim_{x\rightarrow-\infty} g(x)$ does not exist,
and we write
$\displaystyle \lim_{x\rightarrow-\infty} g(x)=+\infty$