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Hi, can anyone help me with how to answer this problem? I have no idea how to answer these types of problems at all. How did this person get -3? Thank you for any and all clarification!

Hi Can Anyone Help Me With How To Answer This Problem I Have No Idea How To Answer These Types Of Problems At All How Did This Person Get 3 Thank You For Any An class=

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Answer:

A) -3

Step-by-step explanation:

Given the graph of f(x) and that g(x) = 2f(9 - (4/3)x) - 3, we can find g(9) by substituting x = 9 into the equation of g.

[tex]$\begin{align}g(9) &= 2f\left(5 - \frac43\times9\right)-3\\&=2f\left(5-12\right)-3\\&=2f(-7)-3\\&\texttt{According to the graph of }f(x)\text{, }f(-7)=0\\&=2\times0-3\\&=-3\end$[/tex]

Therefore, g(9) = -3.

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