Final answer:
The equation of the oblique asymptote of f(x) is y = 2x - 1.
Step-by-step explanation:
An oblique asymptote (also known as a slant asymptote or a diagonal asymptote) is a type of asymptote that is neither horizontal nor vertical. Unlike horizontal asymptotes, which have a constant value as x approaches positive or negative infinity, oblique asymptotes have a linear or slant behavior.
The equation of the oblique asymptote of the function f(x) is y = 2x - 1.
To find the equation of the oblique asymptote, we divide the numerator by the denominator. The result is the equation of the oblique asymptote.
Performing long division or synthetic division, we find that the quotient is 2x - 1.