Hi garymkunz,
I understand you have an Officejet 4500 that is no longer working wireless or USB with your Mac running 10.9. I'm sorry to hear this has been happening, but I will do my best to assist you.
It sounds like maybe the printer needs to have the wireless reset and then try to connect again. To reset the wireless you should be able to press Setup, go to Wireless Menu (using the left/right arrows on either side of the OK), press OK and then look for Reset Wireless (may say Restore Network Defaults). Once that is done, please go back into the Wireless Menu and select the Wireless Setup Wizard and see if you can connect it to your network again.
If the printer connects successfully, you should then be able to install the printer on your 10.9 system via the Apple Updates.
Hope this helps, have a great day!!