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

Please Help Functions And Relations Fx Square Root Of 2xgx Square Root Of 8xfind F Gx Assume X Gt 0 class=

Answer :

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

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