Answer:
f(-2) = -3
Step-by-step explanation:
[tex]f(x)=-\frac{1}{2} x^{2} +x+1[/tex]
Just plug in x = -2
[tex]f(-2)=-\frac{1}{2} (-2)^{2} -2+1[/tex]
[tex]f(-2)=-\frac{1}{2} (4) -1[/tex]
4 can be rewritten as [tex]\frac{4}{1}[/tex] or [tex]\frac{8}{2}[/tex] so it has a common denominator.
[tex]f(-2)=-\frac{1}{2} * \frac{8}{2} -1[/tex]
[tex]f(-2)=-\frac{4}{2} -1[/tex]
[tex]f(-2)=-2-1[/tex]
[tex]f(-2)=-3[/tex]
