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chantellesantana chantellesantana
  • 16-08-2016
  • Mathematics
Answered

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?

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dalendrk
dalendrk dalendrk
  • 16-08-2016

\(f(x)=\dfrac{4x+8}{x^2+3x-4}\\\\The\ domain:x^2+3x-4 eq0\\\\x^2+4x-x-4 eq0\\\\x(x+4)-1(x+4) eq0\\\\(x+4)(x-1) eq0\iff x eq-4\ \wedge\ x eq1\)

\(The\ vertical\ asymptotes\ of\ the\ function\ f:\ \boxed{x=-4\ and\ x=1}\)

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