Posted by Kathy on Thursday, August 4, 2011 at 10:36pm.
The asymptotes of the function g(x)=(x+2)/(x^2+2x3) are...
a. vertical: x=2, x=1; horizontal: y=0
b. vertical: x=3, x=1; horizontal: y=0
c. vertical: x=2, x=3; horizontal: y=0
d. vertical: x=3, x=1; horizontal: none

Math  Reiny, Thursday, August 4, 2011 at 10:43pm
vertical asymptotes exist when the denominator is zero, so
x^2 + 2x  3 = 0
(x+3)(x1) = 0
x = 3, x = 1
as x > infinity , g(x) = large/even larger > 0
y = 0
so it looks like b)

Math  Kathy, Thursday, August 4, 2011 at 10:44pm
THANKS!
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