What tool is included in the Mac OS X for backing up disks to image files and recovering disk images?

The tool included in Mac OS X for backing up disks to image files and recovering disk images is Disk Utility. Disk Utility is a built-in application that allows users to manage disk drives and disks, providing functionalities for creating, formatting, and repairing disk images. It can create disk image files, which are exact copies of the hard drive’s data, making it essential for backups and recovery processes. In addition to image file creation, Disk Utility allows users to mount and restore these disk images, ensuring that data can be managed effectively.

The other options serve different purposes; for example, Time Machine is primarily designed for automatic backup of files, maintaining a version history but not necessarily focused on individual disk images. FileVault is related to the encryption of files on a disk for security rather than backup or recovery. Disk Management, while a term that exists in other operating systems, is not a tool available in Mac OS X. Thus, Disk Utility stands out as the appropriate solution for the specific tasks mentioned in the question.