anonymous
  • anonymous
Please help! Find the excluded value of the rational expression. (2x + 6)/(4x – 8) A. -3 B. -2 C. 0 D. 2 A, B, C, or D? Please explain (:
Mathematics
katieb
  • katieb
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Jusaquikie
  • Jusaquikie
instead of x put in a number from your answers and see what you get
Jusaquikie
  • Jusaquikie
(2(-3)+6) / (4(-3)-8) = 0/-20 (2(-2)+6) / (4(-2)-8) =2/-16 (2(0)+6) / (4(0)-8) =0/0 (2(2)+6) / (4(2)-8) =10/0
Jusaquikie
  • Jusaquikie
that didn't really get us anywhere let's just use algebra \[\frac{ (2x+6) }{(4x-8) } = \frac{ 2(x+3) }{ 4(x-2) }\]

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Jusaquikie
  • Jusaquikie
we want to find the value where the expression is undefined which happens when the denominator is zero. so what we have to do is make the denominator zero so what would make \[4(x-2) =0?\] when x=2 because \[4(2-2)=4(0)=0\] so D is your answer
anonymous
  • anonymous
Thank You!

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