A composite functions is gotten from the combination of two or more functions.
Given that:
\(r(x) = 2\sqrt x\)
\(s(x) = \sqrt x\)
\((a)\ (rs)(4)\)
This is calculated as follows:
\((rs)(4) = r(4) \times s(4)\)
Calculate r(4) and s(4)
\(r(4) = 2\sqrt 4 = 2 \times 2 = 4\)
\(s(4) = \sqrt 4 = 2\)
So, we have:
\((rs)(4) = r(4) \times s(4)\)
\((rs)(4) = 4 \times 2\)
\((rs)(4) = 8\)
\((b)\ (r/s)(3)\)
This is calculated as follows:
\((r/s)(3) = r(3) \div (3)\)
Calculate r(3) and s(3)
\(r(3) = 2\sqrt 3\)
\(s(3) = \sqrt 3\)
So, we have:
\((r/s)(3) = r(3) \div (3)\)
\((r/s)(3) = 2\sqrt 3 \div \sqrt 3\)
\((r/s)(3) = 2\)
Read more about composite functions at:
https://brainly.com/question/10830110
