Final answer:
An oblique asymptote occurs when the degree of the numerator is one more than the degree of the denominator. To find the equation of the oblique asymptote, divide the numerator by the denominator using long division. The equation of the oblique asymptote in this case is y = x - 5.
Step-by-step explanation:
An oblique asymptote of a rational function occurs when the degree of the numerator is one more than the degree of the denominator. In this case, the degree of the numerator is 2 and the degree of the denominator is 1, so there is an oblique asymptote.
To find the equation of the oblique asymptote, we can use long division to divide the numerator by the denominator. The result is a quotient of x - 5 and a remainder of 18.
Therefore, the equation of the oblique asymptote is y = x - 5.