Answer:
In the picture attached the graph of h(x) = f(x)/ g(x) = (x - 6)/(x + 6) is shown. Notice that there is no h(x) for x = -6. The graph was made with a computer software
f(x) = x - 6 and g(x) = x + 6 are also included. These two functions are continuous for all real numbers, despite that h(x) is not continuous in x = -6