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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 27, 2020
 #1
avatar+21017 
+1

a)  f(x)  =  (-4x + 4) / (x - 3)

 Apr 27, 2020
 #2
avatar+21017 
+1

b)  f(x)  =  (-8x + 8) / (2x - 6)

 Apr 27, 2020

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