Question 860513
Q:
Find the oblique asymptote. Write your answer as an equation.

y = {{{(9x^3 - 12x^2 - 20x + 3)/(3x^2 + x - 5)}}}
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A:
We divide the numerator by the denominator.
*[illustration divide]
The result is {{{3x - 5 - 22/(3x^2 + x - 5)}}}.
As x increases or decreases without bound, the fractional part approaches zero. Therefore, the oblique asymptote is {{{highlight(y = 3x - 5)}}}.
Here's the graph:
*[illustration oblique]