SOLUTION: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. f(x) = (x + 9)/(x^2 + 4x + 2)

Question 1100981: State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote.
f(x) = (x + 9)/(x^2 + 4x + 2)
Found 2 solutions by algebrahouse.com, josgarithmetic:
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
If the degree (highest exponent) of the denominator is larger than the degree of the numerator, which it is in this case, the horizontal asymptote is the line y = 0.

In other words, the x-axis.

For more help from me, visit: www.algebrahouse.com

Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
f tends to go increasingly toward as x goes further to the right without bound; but toward going to the left without bound. Think what that means and make the conclusion.
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