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algebra2sucks
 3 years ago
Describe the vertical asymptote(s) and hole(s) for the graph of y = (x+2)(x+4)/(x+4)(x+1)
algebra2sucks
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.1does anything cancel in (x+2)(x+4)/(x+4)(x+1)

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

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

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

jim_thompson5910
 3 years 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
 3 years ago
Best ResponseYou've already chosen the best response.0so the asymptote is 1? this is much clearer lol thank you!!1
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