Find an equation for a rational function with the following

Find an equation for a rational function with the following properties: 1, vertical asymptotes at x = 3 and x =-9 2. zero at x= 1 3, horizontal asymptote at y = 0 f(x) = Submit Answer Tries 0/3

Solution

vertical asymptote: x = 3, x = -9
implies factors of (x-3) and (x+9) in the denominator

horizontal asymptote: y = 0
implies the degree of the numerator is less than the degree
of the denominator

zero at x=17

implies factors of (x-17) in the numerator

f(x)=(x-17)/((x-3)(x+9))