Find an equation of a rational function f that satisfies the given conditions. vertical asymptote: x = 8 horizontal asymptote: y = −1 x-intercept: 9

Question

Find an equation of a rational function f that satisfies the given conditions.
vertical asymptote: x = 8
horizontal asymptote: y = −1
x-intercept: 9

Answer 1

f(x) = (x+9)/(8-x) has vertical asymptote x= 8, horizontal asymptote y=-1,

and

x intercept = 9 when y= f(x) = 0

(x+9)(8-x) = 0 when x=-9