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A convex lens is lined up with a concave mirror so that they share the same...

A convex lens is lined up with a concave mirror so that they share the same optical axis. This axis is also defined to be the x-axis. A very small light bulb is placed near the lens so that light emanating from the bulb passes through the lens and forms an image that is located between the lens and the concave mirror. The location of the small bulb, however, is unknown.
Listed below are the details about what is known for this situation:

•The focal length of the lens is + 3.0cm. The focal length of the concave mirror is + 4.0cm.
•The lens is located at x= 7.0cm while the mirror is located at x= 17.0 cm.
•The image of the small bulb (formed by just the lens) is observed to be1.5cm above the x-axis, at locationx= 14.5cm.
•The lens and mirror both have diameter 8.0cm.

Locate the object on a ray diagram and confirm it by calculating the locations of the small bulb and the final image of the bulb.

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