Answer:
No oblique asymptote
Step-by-step explanation:
The given function is
[tex]f(x)=\frac{x+4}{3x^2+5x-2}[/tex]
The highest degree of the polynomial in the numerator is less than the highest degree of the polynomial in the denominator.
A rational function that has this property is a proper rational function and hence does not have an oblique asymptote.
See graph in attachment.
