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# asymptotes

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A function f has a horizontal asymptote of y = -4, a vertical asymptote of x = 8, and an x-intercept at (2,0).

Let f be of the form

f(x)=(ax+b)/(x+c)

Find an expression for f(x).

Oct 19, 2020

#1
+11086
+1

A function f has a horizontal asymptote of y = - 4, a vertical asymptote of x = 8, and an x-intercept at (2,0).

Let f be of the form

f(x)=(ax+b)/(x+c)

Find an expression for f(x).

Hello Guest!

$$f(x)=-\frac{24}{x-8}-4\color{black}=\frac{-24-4x+32}{x-8}=\frac{-4x+8}{x-8}$$

$$f(x)=\large \frac{-4x+8}{x-8}$$        a = - 4,  b = 8,    c = - 8

!

Oct 19, 2020
edited by asinus  Oct 19, 2020