For this case we have a function of the form[tex]y = g (x)[/tex]
Where:
[tex]g (x) = 2 (x-4)[/tex]
We must find the value of "x" when the function has a value of 20, that is, [tex]g (x) = 20[/tex]:
[tex]2 (x-4) = 20[/tex]
We apply distributive property:
[tex]2x-8 = 20[/tex]
We add 8 to both sides of the equation:
[tex]2x = 20 + 8\\2x = 28[/tex]
We divide between 2 on both sides of the equation:
[tex]x = \frac {28} {2}\\x = 14[/tex]
Answer:
Option C