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

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jim_thompson5910Best ResponseYou've already chosen the best response.1
does anything cancel in (x+2)(x+4)/(x+4)(x+1)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
notice you have a pair of "x+4" terms
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so they would cancel
 one year ago

algebra2sucksBest ResponseYou've already chosen the best response.0
Ok so the hole is 4?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
close, 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
 one year ago

algebra2sucksBest ResponseYou've already chosen the best response.0
so the asymptote is 1? this is much clearer lol thank you!!1
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
yes it is, yw
 one year ago
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