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Verified Answer :

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:

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.