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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 $f(x).$

 

I already asked this, but no one replied. If you could explain a bit, that would be great. Thanks!

 Dec 15, 2020
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(a) f(x) = (-x + 3)/(x - 3).

 

(b) f(x) = (-x + 3)/(2x - 6).

 Dec 15, 2020

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