Answer
(a) $g(4)=-14$
(b) $g(-3)=-7$
Work Step by Step
RECALL:
$g(a)$ represents the value of the function $g$ when $x=a$.
Replace $x$ with the given value to obtain:
(a)
$g(4) = -4^2+2
\\g(4)= -16+2
\\g(4)=-14$
(b)
$g(-3) = -(-3)^2+2
\\g(-3)= -9+2
\\g(-3)=-7$