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)

Algebra ->  Polynomials-and-rational-expressions -> 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)      Log On


   

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) About Me  (Show Source):
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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) About Me  (Show Source):
You can put this solution on YOUR website!
f tends to go increasingly toward 1%2Fx as x goes further to the right without bound; but toward -1%2Fx going to the left without bound. Think what that means and make the conclusion.