Answer:
Option C.
Step-by-step explanation:
The given function is
[tex]g(x)=-3x^2-2x+3[/tex]
We need to find the value of g(-2). It means we have to find the value of function g(x) at x=-2.
Substitute x=-2 in the given function.
[tex]g(-2)=-3(-2)^2-2(-2)+3[/tex]
[tex]g(-2)=-3(4)-(-4)+3[/tex]
On further simplification we get
[tex]g(-2)=-12+4+3[/tex]
[tex]g(-2)=-12+7[/tex]
[tex]g(-2)=-5[/tex]
The value of g(-5) is -5.
Therefore the correct option is C.
