Identify the oblique asymtote of f(x)=x^2+6x-9/x-2

An oblique asymptote occurs for a rational function if the degree of the numerator is one more than the degree of the denominator.to find the oblique asymptote, perform the division prescribed by the rational function; the quotient will be the equation of the oblique asymptote.for your functiondivide  by  , and then use the quotient as the equation of the oblique asymptote.the division is performed in the attachments (two ways of doing it: can do synthetic division or long division)we get a quotient of  .so the oblique asymptote is