Limits Continuity And Differentiability

Consider the function $g(x)$ defined as

$$ g(x)=\left\{\begin{array}{cc} \frac{x^2-4}{x^2-2|x-2|-4}, & x \neq 2 \\ \frac{3}{4}, & x=2 \end{array}\right. $$

Which of the following statements is true about the continuity of $g(x)$ ?