F(x) = 4x + 7, g(x) = 3x2
1 answer:
Answer:
(1)
![(f+g)(x)=3x^2+4x+7](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D3x%5E2%2B4x%2B7)
(2)
Step-by-step explanation:
we are given
![f(x)=4x+7](https://tex.z-dn.net/?f=f%28x%29%3D4x%2B7)
![g(x)=3x^2](https://tex.z-dn.net/?f=g%28x%29%3D3x%5E2)
we have to find (f+g)(x)
we can write
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
now, we can plug values
and we get
![(f+g)(x)=4x+7+3x^2](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D4x%2B7%2B3x%5E2)
we can also write as
![(f+g)(x)=3x^2+4x+7](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D3x%5E2%2B4x%2B7)
so, answer is
![(f+g)(x)=3x^2+4x+7](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D3x%5E2%2B4x%2B7)
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