SOLUTION: Describe the vertical asymptote(s) and hole(s) for the graph of y =x-5/x^2+4x+3. a.asymptotes: x = –3, –1 and no holes. b.asymptote: x = –3 and hole: x = –5 c.asymptotes: x =

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Question 708492: Describe the vertical asymptote(s) and hole(s) for the graph of y =x-5/x^2+4x+3.
a.asymptotes: x = –3, –1 and no holes.
b.asymptote: x = –3 and hole: x = –5
c.asymptotes: x = –3, –1 and hole: x = –5
d.asymptote: x = –5 and hole: x = –3

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Describe the vertical asymptote(s) and hole(s) for the graph of
y =x-5/x^2+4x+3.
To find vertical asymptotes, set denominator=0, then solve for x values that make the function undefined.
x^2+4x+3=0
(x+3)(x+1)=0
x=-3
or
x=-1
asymptotes: x=-3 and x=-1
There are no holes in the graph
ans: a

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