Answer:
![(f+g)(x)=x^2+2x-5](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Dx%5E2%2B2x-5)
Step-by-step explanation:
Given:
The functions given are:
![f(x)=2x+3\\g(x)=x^2-8](https://tex.z-dn.net/?f=f%28x%29%3D2x%2B3%5C%5Cg%28x%29%3Dx%5E2-8)
To find: ![(f+g)(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29)
is equal to the addition of both the functions. So, we need to add the values of both the functions and then simplify to arrive the final answer.
Therefore,
is given as:
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
Plug in the values of
and simplify. This gives,
![(f+g)(x)=2x+3+x^2-8](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D2x%2B3%2Bx%5E2-8)
Combining like terms using commutative property of addition, we get
![(f+g)(x)=x^2+2x+3-8\\(f+g)(x)=x^2+2x-5](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Dx%5E2%2B2x%2B3-8%5C%5C%28f%2Bg%29%28x%29%3Dx%5E2%2B2x-5)
Therefore, the addition of the two functions is simplified to:
![(f+g)(x)=x^2+2x-5](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Dx%5E2%2B2x-5)
If you post the work, then we might be able to help
Answer:
1 and 2
Step-by-step explanation:
the square root of 210 is 1.44
If you buy the hat at 16.99 with 20 percent off your gonna pay 13.59
F(x)=x^2+2x-10
f(-2)=4-4-10
f(-2)=-10
the answer is A) or -10