Answer:
A. cos(
)
Step-by-step explanation:
Typed the all the expressions into desmos and picked the ones that matched
Answer:
1. (rs)(4)=8
2. (r/s)(3)=2
Step-by-step explanation:
1. To find (r s)(4) we need to find (r s)(x)
![(rs)(x)=r(x)*s(x)\\\\(rs)(x)=2\sqrt{x} *\sqrt{x} \\\\(rs)(x)=2x](https://tex.z-dn.net/?f=%28rs%29%28x%29%3Dr%28x%29%2As%28x%29%5C%5C%5C%5C%28rs%29%28x%29%3D2%5Csqrt%7Bx%7D%20%2A%5Csqrt%7Bx%7D%20%5C%5C%5C%5C%28rs%29%28x%29%3D2x)
Now we can plug in 4 for x
![(rs)(x)=2x\\(rs)(4)=2(4)\\(rs)(4)=8](https://tex.z-dn.net/?f=%28rs%29%28x%29%3D2x%5C%5C%28rs%29%284%29%3D2%284%29%5C%5C%28rs%29%284%29%3D8)
2. To find (r/s)(3) we need to find (r/s)(x), and we can do that by dividing r(x) by s(x)
![\frac{r}{s} (x)=\frac{r(x)}{s(x)} \\\frac{r}{s} (x)=\frac{2\sqrt{x} }{\sqrt{x} } \\\frac{r}{s} (x)=2 \\](https://tex.z-dn.net/?f=%5Cfrac%7Br%7D%7Bs%7D%20%28x%29%3D%5Cfrac%7Br%28x%29%7D%7Bs%28x%29%7D%20%5C%5C%5Cfrac%7Br%7D%7Bs%7D%20%28x%29%3D%5Cfrac%7B2%5Csqrt%7Bx%7D%20%7D%7B%5Csqrt%7Bx%7D%20%7D%20%5C%5C%5Cfrac%7Br%7D%7Bs%7D%20%28x%29%3D2%20%5C%5C)
Since (r/s)(x)=2, the output will be always be 2, regardless of what the x value is. So (r/s)(3)=2
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