Can you tell me if I am on the right track on this problem

If f and g are continuous functions with f(-3) = 5 and the following limit, find g(-3).

$\displaystyle

\lim_{x \to -3} [4f(x)-g(x)] = 13

$

My work:

$\displaystyle

\lim_{x \to -3}g(-3) = ?

$

$\displaystyle

4\lim_{x \to -3}f(-3) = 5

$

$\displaystyle

g(-3) = 7

$

I just winged this one since I don't know how to do it

Am I even close? lol