Question

please help! functions and relations. f(x)= square root of 2xg(x)= square root of 8xfind (f • g)(x). Assume x > 0

Answer 1

Given the following functions:

`\begin{gathered} f(x)=√(2x) \\ g(x)=√(8x) \end{gathered}`

We will find (f • g)(x)

So, we will find the product of the given functions

`\left(f•g\right)\left(x\right)=f(x)*g(x)=√(2x)*√(8x)=√(2x*8x)=√(16x^2)=4x`

So, the answer will be option D. (f • g)(x) = 4x