CableO442811 CableO442811
  • 03-11-2022
  • Mathematics
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Find (fg)(x) and evaluate for x = 9 f (x) = 2x², 9(x) = va Type your answer

Find fgx and evaluate for x 9 f x 2x 9x va Type your answer class=

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ConnellyS611868 ConnellyS611868
  • 03-11-2022

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.

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