Question

Checkkk my work?(:

Answer 1

           x + 4
f(x) = _______
        3x^2 + 5x - 2

since the degree of the numerator is less than the degree of the denominator, it has no oblique asymptote.

Answer 2

Answer:

There is no oblique asymptote

Step-by-step explanation:

Oblique asymptote case arises when degree of numerator is greater than denominator  

Here, we have given the expression $\frac{x+4}{3x^2+5x-2}$

Here, degree of numerator is less than denominator

Hence, no oblique asymptote.

The expression should be $\frac{3x^2+5x-2}{x+4}$ to get the oblique asymptote.