Answer
$-76$
Work Step by Step
RECALL:
$g(a)$ represents the value of the function $g$ when $x=a$.
Thus, $g(-3)$ represents the value of the function $g$ when $x=-3$.
Substitute $-3$ to $x$ in the function $g$ to obtain:
$g(-3) = 2(-3)^3-(-3)^2+4(-3)-1
\\g(-3)=2(-27)-9+(-12)-1
\\g(-3)=-54-9-12-1
\\g(-3)=-63-12-1
\\g(-3)=-75-1
\\g(-3)=-76$