Question

F(x) = square root 6xg(x) = square root 24xFind (f•g)(x). Assume x greater than or equal to 0

Answer 1

As given by the question

there are given that the function:

`\begin{gathered} f(x)=\sqrt[]{6x} \\ g(x)=\sqrt[]{24x} \end{gathered}`

Now,

To find the value of (f.g)(x), multiply the function f(x) with g(x)

Then,

`\begin{gathered} f(x)* g(x)=\sqrt[]{6x}*\sqrt[]{24x} \\ =\sqrt[]{6x}*2\sqrt[]{6x} \\ =2*6x \\ =12x \end{gathered}`

Hence, the correct option is A.