Question

Find (fg)(x) and evaluate for x = 9 f (x) = 2x², 9(x) = va Type your answer

Answer 1

486

Step-by-step explanation:

(fg)(x) is equal to:

`(fg)(x)=f(x)\cdot g(x)`

So, replacing f(x) = 2x² and g(x) = √x, we get:

`(fg)(x)=2x^2\cdot\sqrt[]{x}`

Then, to evaluate for x = 9, we need to replace x by 9, so:

`\begin{gathered} (fg)(9)=2(9)^2\cdot\sqrt[]{9} \\ (fg)(9)=2(81)\cdot3 \\ (fg)(9)=486 \end{gathered}`

Therefore, the answer is 486.