Yes that is correct ma dude
The answer is D, (1/3, 4).
Hope this helped!
Answer:
The vertex of the quadratic function is:

Step-by-step explanation:
Given the function

As the vertex of the form
is defined as:

As the quadratic function of parabola params are

so



Putting
to determine 




Therefore, the vertex of the quadratic function is:

F(5)= 5^2+4(5) = 25+20=45
g(6)= 2(6)+2 = 14
f(5)+g(6) = 45+14 = 59