SOLUTION: the Question is: 100.)(2x+3)/(x^2+x+3) Find the Domain of the function, and identify any horizontal and vertical assymptotes. I have the following: Domain: all real numbers?

Algebra ->  Algebra  -> Functions -> SOLUTION: the Question is: 100.)(2x+3)/(x^2+x+3) Find the Domain of the function, and identify any horizontal and vertical assymptotes. I have the following: Domain: all real numbers?      Log On

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Question 104163This question is from textbook College Algebra: A Graphing Approach
: the Question is: 100.)(2x+3)/(x^2+x+3)
Find the Domain of the function, and identify any horizontal and vertical assymptotes.
I have the following:
Domain: all real numbers???
Horizontal assymptote at x=2
and I used the quadratic formula for the vertical assymptote and found imaginery assymptotes. AThis is where I got Lost!!This question is from textbook College Algebra: A Graphing Approach

Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
y = (2x+3)/(x^2+x+3)
Find the Domain of the function, and identify any horizontal and vertical assymptotes.
I have the following:
Domain: all real numbers???
True
------------------------------------
Horizontal assymptote at x=2
No; the horizonal asymptote is 0x^2/1x^2 = 0/1 = 0
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and I used the quadratic formula for the vertical assymptote and found imaginery assymptotes.
Right; no vertical asymptotes because the denominator cannot be zero.
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Cheers,
Stan H.