Question

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

Answer 1

`(rs)(4) = 8`

Explanation:

Given

`r(x) = 2\sqrt{x`

`s(x) = \sqrt x`

Required

Determine
`(rs)(4)`

In functions:

`(fg)(x) = f(x) * g(x)`

This implies that:

`(rs)(x) = r(x) * s(x)`

Substitute values for r(x) and s(x)

`(rs)(x) = 2√(x) * √(x)`

`(rs)(x) = 2(√(x))^2`

`(rs)(x) = 2x`

Substitute 4 for x

`(rs)(4) = 2 * 4`

`(rs)(4) = 8`