Final answer:
When 'mv f1 f2' is executed, if 'f2' exists, its inode is freed; otherwise, 'f1's inode is simply renamed to 'f2' and no inodes are freed.
Step-by-step explanation:
When the command mv f1 f2 is executed in a Unix-like operating system, the inode that gets freed depends on whether f2 already exists. If f2 exists, its inode is freed, meaning the inode that previously belonged to f2 is no longer used because f2 now points to f1's data. If f2 does not exist prior to the move, no inode is freed; instead, the directory entry for f1 is simply updated to the new name f2, and no new inode is created. In both cases, the inode originally associated with f1 remains intact, retaining all of f1's metadata and pointing to the same data blocks on the storage device.