Question

9. Given the function below, if (x,-4) is an element of the function, what is the value of x? F(x)=2x+16

Answer 1

Given the following function:

`F\mleft(x\mright)=2x+16​`

You can rewrite the function as following:

`y=2x+16​`

You know that an element of it is:

`\mleft(x,-4\mright)`

Notice that:

`y=-4`

Then, you can substitute this value into the function:

`-4=2x+16​`

Finally, solve for "x":

`\begin{gathered} -4-16=2x \\ -20=2x \\ \\ (-20)/(2)=x \\ \\ x=-10 \end{gathered}`

The answer is:

`x=-10`