A function f(x) has a horizontal asymptote of y = -4 a vertical asymptote of x = 3 and an x-intercept at \(\left(1, 0 \right).\)
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)