Upgraded to Mavericks and can no longer print on my HP Laser Jet 1022
Called Apple Tech support -- couldn't fix it.
Called HP -- told me to buy a newer model printer -- really! :-(
There is a large tribe of folks that Upgraded to Mavericks and now can't scan. All have HP scanners/all in one printers of various types.
HP needs to update it's device driver software to work correctly with the New OS. Check for your device specific software on the HP site version OSX 10.9 software. Devices are being updated as time moves on.
Check the HP forums for information and a work arounds.