Answer:
steps below
Step-by-step explanation:
f(x) = 3x / (x² - 9) = 3x / (x+3)(x-3)
vertical asymptotes: when denominator = 0
x = 3 and x = -3 ..... vertical asymptotes
the polynomial in the numerator is a lower degree than the denominator, the x-axis (y = 0) is the horizontal asymptote.
y=0 .... horizontal asymptote
f(x) = 0 = 3x / (x² - 9) (x² - 9)≠0
3x = 0 x = 0 ......zero (roots)
