A function f has a horizontal asymptote of y = -4, a vertical asymptote of x = 3, and an x-intercept at (1,0).
Part (a): Let f be of the form \(f(x) = \frac{ax+b}{x+c}.\) Find an expression for f(x).
Part (b): Let f be of the form \(f(x) = \frac{rx+s}{2x+t}.\) Find an expression for f(x).