Answer
$$ \frac{3x+1}{6}$$
Work Step by Step
We simplify:
$$ \frac{x^3}{2x^2}+\frac{1}{6} \\ \frac{x\cdot \:3}{6}+\frac{1}{6} \\ \frac{3x+1}{6}$$
We see that the numerator and the denominator contain polynomials. Thus, we see that it is a rational function.