A convex lens of focal length \( f \) is placed somewhere in between an object and a screen. The...

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A convex lens of focal length \( f \) is placed somewhere in between an object and a screen. The distance between the object and the screen is \( x \). If the numerical value of the magnification produced by the lens is \( m \), then the focal length of the lens is
(A) \( \frac{m x}{(m+1)^{2}} \)
(B) \( \frac{(m+1)^{2}}{m} x \)
(C) \( \frac{m x}{(m-1)^{2}} \)
(D) \( \frac{(m-1)^{2}}{m} x \)
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