Explanation:
Given the equation f(x)=-\frac{1}{2} x+3f(x)=−
2
1
x+3 to get f(-6) it means that in the place of x in the given function plug in -6 and simplify
⇒\begin{gathered}f(-6)= -\frac{1}{2} (-6)+3\\f(-6)=3+3\\f(-6)=6\end{gathered}
f(−6)=−
2
1
(−6)+3
f(−6)=3+3
f(−6)=6
⇒The answer is f(-6)=6