An object is placed at a distance of \(30\text{ cm}\) to the left of a thin converging lens with a focal length of \(20\text{ cm}\). A flat mirror is positioned perpendicular to the principal axis at a distance of \(40\text{ cm}\) to the right of the lens. Light from the object passes through the lens, reflects off the flat mirror, and passes back through the lens traveling toward the left. Where is the final image formed by this optical system after the light passes back through the lens?