my iphone 5s went into update mode and will not update or restore gives me an error (9)

Error 9 is about connectivity issues:

Check your security software

Errors: 2, 4, 6, 9, 1611, 9006.

Sometimes security software can stop your device from communicating with either the Apple update server or with your device.

Check your security software and settings to make sure that they aren't blocking a connection to the Apple servers.

If you still see the error message, check for USB connection issues.

copied from: Get help with iOS update and restore errors