Question

The domain of this function is f-12, -6, 3, 15) y =ór y=-2/3x+7 Complete the table based on the given domain.

Answer 1

Answer:

x = 3

Explanations

The domain of the function is given as:

Domain = {-12, -6, 3, 15}

The given function is:

`y\text{ = }(-2)/(3)x\text{ + 7}`

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.

`\begin{gathered} y\text{ = }(-2)/(3)x\text{ + 7} \\ 5\text{ = }(-2)/(3)x\text{ + 7} \\ 5\text{ - 7 = }(-2x)/(3) \\ -2\text{ = }(-2x)/(3) \\ -2(3)\text{ = -2x} \\ -6\text{ = -2x} \\ x\text{ = }(-6)/(-2) \\ x\text{ = 3} \end{gathered}`