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How would you "remove the discontinuity" of f? in f(x) = (x^38)/(x^24)
 one year ago
 one year ago
How would you "remove the discontinuity" of f? in f(x) = (x^38)/(x^24)
 one year ago
 one year ago

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UmangiasdBest ResponseYou've already chosen the best response.0
Restricting the domain to \[\mathbb{R}\{2,2\} \]
 one year ago

jennwatso15Best ResponseYou've already chosen the best response.0
well I know that the bottom cannot be 2 but I don't understand how to go past there. I've looked up that you factor the top and the bottom but that doesn't help either. I unfortunately had to miss this lecture today and the book is almost as confusing as the proff.
 one year ago

UmangiasdBest ResponseYou've already chosen the best response.0
Okay, that's a division, so your denominator can't be 0. You have to looik to ALL the cases in which your denominator is equal to 0 SO \[x^24=0\leftarrow \rightarrow (x+2)(x2)=0\] Clearer?
 one year ago

jennwatso15Best ResponseYou've already chosen the best response.0
yeah. so the discontinuity is (2,2) that's where the point would be on the graph?
 one year ago

jennwatso15Best ResponseYou've already chosen the best response.0
it ask it in the book how would you define f(2) in order to make f continuous at 2 it would be f(2) = 2
 one year ago

UmangiasdBest ResponseYou've already chosen the best response.0
no no no, that are the values of X in which your function is not defined. that means you don't have f(2) nor f(2) To make it continuos you'll have to use continuity definition a function is continue for x=a if \[\lim_{x \rightarrow a}f(x)=f(a)\]
 one year ago

jennwatso15Best ResponseYou've already chosen the best response.0
ok so how would you use that function you wouldn't plug it in? sorry I'm also trying to look through the book as you explain as well
 one year ago

jennwatso15Best ResponseYou've already chosen the best response.0
ok in the book it shows an example right after the where it talks about the continuity definition and what it does it shows you how to find what the domain is for the bottom then it shows putting in what x approaches to like in this one lim x approaches 2 so they sub in the 2 and that's all it shows.
 one year ago
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