Can an object be halfway between focal point and diverging mirror?

AI Thread Summary
An object cannot be halfway between the focal point and a diverging mirror because the focal point of a diverging mirror is located behind the mirror. Consequently, this would place the object behind the mirror as well, which is not feasible in standard optics. The discussion references a problem from a physics text that contrasts converging and diverging mirrors, highlighting the unique characteristics of each. It notes that the scenario described may only occur when mirrors are combined with other optical elements. Thus, in isolation, an object cannot occupy that position relative to a diverging mirror.
Negatratoron
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A physics question from Principles of Physics by Mazur in the chapter on Optics is asking me to "repeat Problem 92 for a diverging mirror", and one of the questions in Problem 92 (which is about a converging mirror) is to find the image distance of an object halfway between the focal point and the mirror.

I do not believe this is possible, since the focal point of a diverging mirror is behind the mirror, and so an object halfway between the focal point and the mirror is also behind the mirror.
 
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I think I figured it out. Table 33.2 in the text has a footnote in the "o < 0" case: "Encountered only with lens or mirror combinations". If any mirror is in combination with other mirrors and lenses, it may be the case that the object is behind the mirror.
 
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