asymptotes

A function f has a horizontal asymptote of y = - 4, a vertical asymptote of x = 8, and an x-intercept at (2,0).

Let f be of the form

                       f(x)=(ax+b)/(x+c)

Find an expression for f(x).

Hello Guest!

$f(x)=-\frac{24}{x-8}-4\color{black}=\frac{-24-4x+32}{x-8}=\frac{-4x+8}{x-8}$

$f(x)=\large \frac{-4x+8}{x-8}$        a = - 4,  b = 8,    c = - 8 

  !