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 one year ago
Describe the vertical asymptote(s) and hole(s) for the graph of y = (x+2)(x+4)/(x+4)(x+1)
 one year ago
Describe the vertical asymptote(s) and hole(s) for the graph of y = (x+2)(x+4)/(x+4)(x+1)

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1does anything cancel in (x+2)(x+4)/(x+4)(x+1)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1notice you have a pair of "x+4" terms

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1so they would cancel

algebra2sucks
 one year ago
Best ResponseYou've already chosen the best response.0Ok so the hole is 4?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1close, the hole is actually 4, this is because (x+2)(x+4)/(x+4)(x+1) simplifies to (x+2)/(x+1) it has a vertical asymptote at x = 1 because this makes the denominator x+1 equal to zero but to make (x+2)(x+4)/(x+4)(x+1) equivalent to (x+2)/(x+1), you have to add the further restriction that x can't equal 4, which causes the hole there

algebra2sucks
 one year ago
Best ResponseYou've already chosen the best response.0so the asymptote is 1? this is much clearer lol thank you!!1

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes it is, yw
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