Chapter 6.4, Problem 64E

HOW DO YOU SEE IT? Identify the graph of the rational function and the graph representing each partial fraction of its partial fraction decomposition. Then state any relationship between the vertical asymptotes of the graph of the rational function and the vertical asymptotes of the graphs representing the partial fractions of the decomposition. To print an enlarged copy of the graph.

(a) $y=\frac{x-12}{x\left(x-4\right)}$ (b) $y=\frac{2\left(4x-3\right)}{x^2-9}$

$=\frac{3}{x}-\frac{2}{x-4}$ $=\frac{3}{x-3}+\frac{5}{x+3}$