Answer:
486
Explanation:
(fg)(x) is equal to:
[tex](fg)(x)=f(x)\cdot g(x)[/tex]
So, replacing f(x) = 2x² and g(x) = √x, we get:
[tex](fg)(x)=2x^2\cdot\sqrt[]{x}[/tex]
Then, to evaluate for x = 9, we need to replace x by 9, so:
[tex]\begin{gathered} (fg)(9)=2(9)^2\cdot\sqrt[]{9} \\ (fg)(9)=2(81)\cdot3 \\ (fg)(9)=486 \end{gathered}[/tex]
Therefore, the answer is 486.
