# Removable discontinuities

### Problem

Let $g(x)=\begin{cases} \dfrac{x^2+5x+6}{x+3}&\text{for }x\neq -3 \\\\ k&\text{for }x=-3 \end{cases}$
g is continuous for all real numbers.
What is the value of k?
Please choose from one of the following options.