Answer
$ f(2) = 4$
Work Step by Step
$ \lim\limits_{x \to 2} 3f(x) + f(x) * g(x) = 36$
$ \lim\limits_{x \to 2} 3f(2) + f(2) * g(2) = 36 $
$ 3f(2) + f(2) * (6) = 36 $
$3f(2) + 6f(2) = 36 $
$ 9f(2) = 36 $
Solve for $f(2)$
$\displaystyle \frac{9f(2)}{9}= \frac{36}{9}$
$ f(2) = 4$
