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=](https://us-static.z-dn.net/files/df9/c10fcb541e9d19506d4a98490ffb054c.jpg)
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.