Question

Create a graph of the combined function h(x) = f(x)/ g(x) in which f(x) = x - 6 and g(x) = x + 6.

On your graph, show the graphs of f(x) and g(x) also.

Answer 1

The Graphs of tan, cot, csc, sec. ... The graphs of y = tan(x) and y = cot(x) have the same x-values for y-values of 1 and ...

Answer 2

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