Question

R(x) = 2 square root of 4 s(x) = square root of x
(rs)(4) =

Answer 1

1.

We are given the functions:

• 
  `r(x) = 2√(x)`
• 
  `s(x)=√(x)`

We are being asked to find
`(rs)(4)`, which is really a shorthand notation for:

`r(4) \cdot s(4)`

We can find each of these values by plugging 4 into each function:

• 
  `r(4)=2\sqrt4 = 2(2) = 4`
• 
  `s(4)=\sqrt4 = 2`

Hence,

`(rs)(4) = 4 \cdot 2 = \boxed{8}`

2.

Using the same functions from problem 1, we are asked to find
`((r)/(s))(3)`, which is a shorthand notation for:

`(r(3))/(s(3))`

We can find each of these values by plugging 3 into each function:

• 
  `r(3)=2\sqrt3`
• 
  `s(3)=\sqrt3`

Hence,

`((r)/(s))(3) = (2\,\,\\ot\!\!\!\!\!\sqrt3)/(\\ot\!\!\!\!\!\sqrt3) = \boxed{2}`