**Guide :High School **

# State the vertical asymptote of the rational function.. f(x) = quantity x minus six times quantity x plus six divided by quantity x squared minus nine.

State the vertical asymptote of the rational function.. f(x) = quantity x minus six times quantity x plus six divided by quantity x squared minus nine.**The equation is f(x) =(x-6*(x+6))/(x^2 - 9).For the vertical asymptote test in a rational function. The denominator is first set to zero.x^2 - 9 = 0x^2 = 9x = +-3The values for x are then substituted to the numerator.x=3; x-6(x+6) = 3-6(3+6) = -51x=-3; x-6(x+6) = -3-6(-3+6)= -21The zeros of the denominator do not make the numerator zero so the vertical asymptotes are x= +-3**...