Answer:
i think the area is 21 srry if im wrong
Step-by-step explanation:
(5/6) * 360 = 1800/6 = 300
I wish I could explain this to you but im really bad at explain. I hope you still like this answer ;)
For this case we have the following functions:
![f (x) = 2x ^ 2-18\\g (x) = - 3x-7](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%202x%20%5E%202-18%5C%5Cg%20%28x%29%20%3D%20-%203x-7)
We must find:
![(f-g) (2)](https://tex.z-dn.net/?f=%28f-g%29%20%282%29)
By definition, we have to:
![(f-g) (x) = f (x) -g (x)](https://tex.z-dn.net/?f=%28f-g%29%20%28x%29%20%3D%20f%20%28x%29%20-g%20%28x%29)
So:
![(f-g) (x) = 2x ^ 2-18 - (- 3x-7)\\(f-g) (x) = 2x ^ 2-18 + 3x + 7\\(f-g) (x) = 2x ^ 2 + 3x-11](https://tex.z-dn.net/?f=%28f-g%29%20%28x%29%20%3D%202x%20%5E%202-18%20-%20%28-%203x-7%29%5C%5C%28f-g%29%20%28x%29%20%3D%202x%20%5E%202-18%20%2B%203x%20%2B%207%5C%5C%28f-g%29%20%28x%29%20%3D%202x%20%5E%202%20%2B%203x-11)
Then, we evaluate in x = 2:
![(f-g) (2) = 2 (2) ^ 2 + 3 (2) -11\\(f-g) (2) = 2 (4) + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 8 + 6-11\\(f-g) (2) = 3](https://tex.z-dn.net/?f=%28f-g%29%20%282%29%20%3D%202%20%282%29%20%5E%202%20%2B%203%20%282%29%20-11%5C%5C%28f-g%29%20%282%29%20%3D%202%20%284%29%20%2B%206-11%5C%5C%28f-g%29%20%282%29%20%3D%208%20%2B%206-11%5C%5C%28f-g%29%20%282%29%20%3D%208%20%2B%206-11%5C%5C%28f-g%29%20%282%29%20%3D%203)
ANswer:
![(f-g) (2) = 3](https://tex.z-dn.net/?f=%28f-g%29%20%282%29%20%3D%203)