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Homework Statement
Find the horizontal asymptotes for the following equation:
Homework Equations
[tex]
f(x) = \sqrt{x^2+4x}-\sqrt{x^2+x}
[/tex]
The Attempt at a Solution
First I factored f(x):
[tex]
f(x) = \sqrt{x}\sqrt{x+4}-\sqrt{x+1}
[/tex]
Then I conjugated it:
[tex]
f(x) = \frac{x(x+4-x+1)}{\sqrt{x}\sqrt{x+4}-\sqrt{x+1}}
[/tex]
That's as far as I've been able to get. Any help would be appreciated.
edit: I "cheated" by plugging in big numbers and found the asymptote is y= -1.5
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