SOLUTION: 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) = {ax+b}/{x+c}. Find an expressio

Question 1063757: 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) = {ax+b}/{x+c}. Find an expression for f(x). Part (b): Let f be of the form f(x) = {rx+s}/{2x+t}. Find an expression for f(x).
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This will be part (a) only.

Horizontal asymptote, y=-4
Vertical Asymptote, x=3
x-intercept, (1,0)
Form of function

For unbounded x, f gets closer to , or .

f will be undefined and here makes a vertical asymptote, if , or .

The zero at x=1 means

Make the substitutions for your function.
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