Answer
$-1$
Work Step by Step
RECALL:
$g(a)$ represents the value of the function $g$ when $x=a$.
Thus, $g(0)$ represents the value of the function $g$ when $x=0$.
Substitute $0$ to $x$ in the function $g$ to obtain:
$g(0) = 2(0)^3-(0)^2+4(0)-1
\\g(0)=0-0+0-1
\\g(0)=-1$