One important difference between a rational function and a polynomial function is that f(x) is not defined when the denominator is zero. In mathematical language, the domain of the function does not contain the zero(s) of the denominator. So we have the first observation is not defined when h(x) = 0. To see this illustrated, you can recall each of the graphs in Table A by clicking the appropriate button. Close the graph window by pulling down the menu in the top left hand corner and selecting Quit.
Recall the x intercepts are among the solutions of g(x) = 0. This gives us