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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).

Apr 11, 2020