Answer:
x = 3
Explanations
The domain of the function is given as:
Domain = {-12, -6, 3, 15}
The given function is:
[tex]y\text{ = }\frac{-2}{3}x\text{ + 7}[/tex]
Note that the values of x are the elements of the domain, while the values of y for corresponding values of x are the range.
To fill in the table at y = 5, we substitute the value of y into the function and find the corresponding value of x.
[tex]\begin{gathered} y\text{ = }\frac{-2}{3}x\text{ + 7} \\ 5\text{ = }\frac{-2}{3}x\text{ + 7} \\ 5\text{ - 7 = }\frac{-2x}{3} \\ -2\text{ = }\frac{-2x}{3} \\ -2(3)\text{ = -2x} \\ -6\text{ = -2x} \\ x\text{ = }\frac{-6}{-2} \\ x\text{ = 3} \end{gathered}[/tex]
