1 answer:
Answer:
what the hecker is that.
okay so your simplifying it, 12? i think.
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2 your welcome d d d d d d. d d d d s s s s
we are given
![f(x)=5](https://tex.z-dn.net/?f=f%28x%29%3D5)
![g(x)=\sqrt{x+2}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%7Bx%2B2%7D)
(8)
![(f+g)(x)=f(x)+g(x)](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29)
we can plug it
![(f+g)(x)=5+\sqrt{x+2}](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3D5%2B%5Csqrt%7Bx%2B2%7D)
(9)
![(f-g)(x)=f(x)-g(x)](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3Df%28x%29-g%28x%29)
we can plug it
![(f-g)(x)=5-\sqrt{x+2}](https://tex.z-dn.net/?f=%28f-g%29%28x%29%3D5-%5Csqrt%7Bx%2B2%7D)
(10)
![(f*g)(x)=f(x)*g(x)](https://tex.z-dn.net/?f=%28f%2Ag%29%28x%29%3Df%28x%29%2Ag%28x%29)
we can plug it
![(f*g)(x)=5\sqrt{x+2}](https://tex.z-dn.net/?f=%28f%2Ag%29%28x%29%3D5%5Csqrt%7Bx%2B2%7D)
(11)
![(\frac{f}{g} )(x)=\frac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%20%29%28x%29%3D%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D)
we can plug it
![(\frac{f}{g} )(x)=\frac{5}{\sqrt{x+2}}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bf%7D%7Bg%7D%20%29%28x%29%3D%5Cfrac%7B5%7D%7B%5Csqrt%7Bx%2B2%7D%7D)
(12)
![(\frac{g}{f} )(x)=\frac{g(x)}{f(x)}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bg%7D%7Bf%7D%20%29%28x%29%3D%5Cfrac%7Bg%28x%29%7D%7Bf%28x%29%7D)
we can plug it
![(\frac{g}{f} )(x)=\frac{\sqrt{x+2}}{5}](https://tex.z-dn.net/?f=%28%5Cfrac%7Bg%7D%7Bf%7D%20%29%28x%29%3D%5Cfrac%7B%5Csqrt%7Bx%2B2%7D%7D%7B5%7D)
(13)
![(fog)(x)=f(g(x))](https://tex.z-dn.net/?f=%28fog%29%28x%29%3Df%28g%28x%29%29)
![f(x)=5](https://tex.z-dn.net/?f=f%28x%29%3D5)
we can replace g(x)
we get
![(fog)(x)=5](https://tex.z-dn.net/?f=%28fog%29%28x%29%3D5)
(14)
![(gof)(x)=g(f(x))](https://tex.z-dn.net/?f=%28gof%29%28x%29%3Dg%28f%28x%29%29)
![f(x)=5](https://tex.z-dn.net/?f=f%28x%29%3D5)
we can replace f(x)
![(gof)(x)=\sqrt{f(x)+2}](https://tex.z-dn.net/?f=%28gof%29%28x%29%3D%5Csqrt%7Bf%28x%29%2B2%7D)
we get
![(gof)(x)=\sqrt{5+2}](https://tex.z-dn.net/?f=%28gof%29%28x%29%3D%5Csqrt%7B5%2B2%7D)
![(gof)(x)=\sqrt{7}](https://tex.z-dn.net/?f=%28gof%29%28x%29%3D%5Csqrt%7B7%7D)
Answer:
7w+21
Step-by-step explanation:
I think it is 600 that what i got