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find any points of discontinuity for the rational function y=(x+3)(x+7)(x+1)/(x6)(x5)
a.)x = –3, x = –7, x = –1
b.)x = –6, x = –5
c.)x = 3, x = 7, x = 1
d.)x = 6, x = 5
 one year ago
 one year ago
find any points of discontinuity for the rational function y=(x+3)(x+7)(x+1)/(x6)(x5) a.)x = –3, x = –7, x = –1 b.)x = –6, x = –5 c.)x = 3, x = 7, x = 1 d.)x = 6, x = 5
 one year ago
 one year ago

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electrokidBest ResponseYou've already chosen the best response.0
discontinuity will occur when you have vertical asymptotes.. i.e., when one of the following happens 1. a division by zero i.e., denomiator becomes "0" 2. there is a possibility of having squareroot of a negative number.
 one year ago

electrokidBest ResponseYou've already chosen the best response.0
in your case, it is the first condition that applies
 one year ago

mamma17Best ResponseYou've already chosen the best response.0
what is the answer though cause i dont understand how to figure it out
 one year ago

electrokidBest ResponseYou've already chosen the best response.0
set the denominator of the function to 0 \[(x6)(x5)=0\] solve for x
 one year ago

mamma17Best ResponseYou've already chosen the best response.0
so i would do like terms then divde omg idk i hate math
 one year ago

electrokidBest ResponseYou've already chosen the best response.0
\[a\times b=0\] only if \(a=0\) or \(b=0\). so, \[x6=0\qquad x5=0\] get it?
 one year ago

rajathsbhatBest ResponseYou've already chosen the best response.0
just observe that if x=6 or x=5, the denominator becomes zero. We don't no what happens when you divide something by zero (some say you get a black hole, but whatever.) So, we just say we don't know what happens and don't mark that point on a graph. So, the graph will look like a rollercoaster track that's missing a piece of the track (Oh! the horror).
 one year ago

mamma17Best ResponseYou've already chosen the best response.0
ty both of u i have more lol
 one year ago

rajathsbhatBest ResponseYou've already chosen the best response.0
that's for another post :P
 one year ago
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