Question
Find the oblique asymptote y = (x^4 + x^2 + 9) / (x^2 - 1)
Find the oblique asymptote y = (x^4 + x^2 + 9) / (x^2 - 1)
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Koala Tutor
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The oblique asymptote of a rational function can be found by performing polynomial division. In this case, we divide the numerator by the denominator:
x^4 + x^2 + 9 divided by x^2 - 1
This gives us x^2 + 1 as the quotient and 10 as the remainder.
Therefore, the oblique asymptote of the function is y = x^2 + 1.
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