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

User Karmen
by
5.4k points

1 Answer

1 vote

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

User Angelik
by
5.1k points
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