Problem

Find the reciprocal of $\frac{2 y-1}{x+3}$
(A) $\frac{y-1}{2 x+3}$
(B) $\frac{2 y+3}{x-1}$
(C) $\frac{2 x+3}{y-1}$
(D) $\frac{x+3}{2 y-1}$

Answer

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Answer

Final Answer: \(\boxed{(D) \frac{x+3}{2 y-1}}\)

Steps

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: \(\boxed{(D) \frac{x+3}{2 y-1}}\)

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