Answer:
g
Step-by-step explanation:
The maximum value occurs at gradient 0 (the stationary point).
In f this has a value (y) of 6.
In the equation example we have to differentiate:
dg(x)/dx = -x + 4
Gradient is 0 so 4 - x = 0 so x = 4
Plug g(4)=our maximum=-(1/2)4^2 + 4(4) + 3 = -8 + 16 + 3 = 11
11 > 6 so g has greater maximum.
