anonymous
  • anonymous
MEDAL AND FAN What are the vertical asymptotes of the function f(x) = the quantity of 4 x plus 8, all over x squared plus 3 x minus 4
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
i think x=-1 and x=2
anonymous
  • anonymous
does anyone know if i am right
UsukiDoll
  • UsukiDoll
\[f(x) = \frac{4x+8}{x^2+3x-4}\]

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UsukiDoll
  • UsukiDoll
is this your function?
UsukiDoll
  • UsukiDoll
I'm gonna assume it is. Anyway , Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. so we have to factor \[x^2+3x-4\]
UsukiDoll
  • UsukiDoll
\[(x+1)(x-4) = 0\] solve for x x+1 = 0 and x-4 = 0 only x = -1 is correct so try solving x-4=0
anonymous
  • anonymous
4
UsukiDoll
  • UsukiDoll
yup x = 4, and x = -1 are our vertical asymptotes good job :)

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