Given the following functions:
[tex]\begin{gathered} f(x)=\sqrt{2x} \\ g(x)=\sqrt{8x} \end{gathered}[/tex]
We will find (f • g)(x)
So, we will find the product of the given functions
[tex]\left(f•g\right)\left(x\right)=f(x)*g(x)=\sqrt{2x}*\sqrt{8x}=\sqrt{2x*8x}=\sqrt{16x^2}=4x[/tex]
So, the answer will be option D. (f • g)(x) = 4x
