Just for clarity (and future readers who wonder how this works)....
The wireless transfer is done in hardware between the keyboard/mouse and the USB dongle .. the keyboard/mouse broadcasts instructions that are received by the USB wireless dongle which converts them into exactly the same signals as a wired keyboard would pass to the USB port. This is all invisible to the computers USB port and hence the OS, as far as they're concerned it's a USB keyboard/mouse (wired or wireless is irrelevant because the signals entering the USB port are the same).
Caveats are "special functions" (gaming mice with 12 buttons, Keyboards with multimedia keys, etc.) that require software to be running on the computer to interpret may not work fully if there is no Linux version of that software provided .. but:-
a) The standard keyboard/3 button mouse with scroll wheel functions should still work (as they're following a standard).
and
b) This isn't a WIRELESS specific issue, the same applies for WIRED gaming mice/multimedia keyboards .. again, if they require software for the special functions, and there isn't a Linux version of that software the special functions won't work, but the basic functions (keyboard and 3 button mouse with scroll wheel) still should.