Answer:
No oblique asymptote
Step-by-step explanation:
To find the oblique asymptote of f(x)
[tex]f(x) = \frac{x+4}{3x^2+5x-2}[/tex]
Here numerator has degree 1 and denomintor degree 2
Degree of numerator < Degree of denominator
Hence there is no oblique asymptote
When the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly, giving us a horizontal asymptote of the x-axis. Or we can write
f(x) = a polynomial of x + a proper fraction.
In this case only we have oblique asymptotes but not when numerator has less degree.
