Step 1 :Find the reciprocal of the fraction $\frac{2 y-1}{x+3}$
Step 2 :The reciprocal of a fraction is obtained by swapping the numerator and the denominator
Step 3 :So, the reciprocal of $\frac{2 y-1}{x+3}$ is $\frac{x+3}{2 y-1}$
Step 4 :Therefore, the answer is (D) $\frac{x+3}{2 y-1}$
Step 5 :Final Answer: \(\boxed{(D) \frac{x+3}{2 y-1}}\)