Given the two functions:
![\begin{gathered} R(x)=2\sqrt[]{x} \\ S(x)=\sqrt[]{x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20R%28x%29%3D2%5Csqrt%5B%5D%7Bx%7D%20%5C%5C%20S%28x%29%3D%5Csqrt%5B%5D%7Bx%7D%20%5Cend%7Bgathered%7D)
We need to find (RoS)(4). THis is the functional composition. We take S(x) and put it into R(x) and then put "4" into that composed function. Shown below is the process:
![(RoS)(x)=2\sqrt[]{\sqrt[]{x}}](https://tex.z-dn.net/?f=%28RoS%29%28x%29%3D2%5Csqrt%5B%5D%7B%5Csqrt%5B%5D%7Bx%7D%7D)
When we plug in "4", into "x", we have:
![\begin{gathered} (RoS)(x)=2\sqrt[]{\sqrt[]{x}} \\ (RoS)(4)=2\sqrt[]{\sqrt[]{4}} \\ =2\sqrt[]{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28RoS%29%28x%29%3D2%5Csqrt%5B%5D%7B%5Csqrt%5B%5D%7Bx%7D%7D%20%5C%5C%20%28RoS%29%284%29%3D2%5Csqrt%5B%5D%7B%5Csqrt%5B%5D%7B4%7D%7D%20%5C%5C%20%3D2%5Csqrt%5B%5D%7B2%7D%20%5Cend%7Bgathered%7D)
Answer:
f(9) = 72
Step-by-step explanation:
This is a piecewise function. You have to establish what part to plug in your x value based on the designations given in the function. In this case, x=9.
9>6, so we would follow the bottom designation! When writing the function, turn every "x" into a 9.
f(x) = 8x
f(9) = 8(9)
f(9) = 72
Hope this helps you out :)!
1) plug -5 in for the place of x.
2) solve -(-5)^2
3) f(-5)=25
Answer:
Step-by-step explanation:
the number is 1300 if we have 40% from it will give us 520
Answer:
m-9 = 3 is the required expression
