Answer:
97
Step-by-step explanation:
You want the value of the composition of functions f and g for x=4.
Composition
The ring operator signifies a composition of functions. It works right to left. That is, ...
[tex](f\circ g)(x)=f(g(x))[/tex]
A composition is evaluated using the Order of Operations, working from inner parentheses outward.
Application
[tex](f\circ g)(4)=f(g(4)) = f(3-\dfrac{1}{2}4^2)=f(-5)\\\\=4(-5)^2-3=100-3=\boxed{97}[/tex]
