While there are some video cards that can run two displays off of a similar cable (Our VTBook for example can run a DVI and VGA monitor off of a similar cable) However they are usually proprietary to the video card (like the VTBook Dualhead cables)
These simple splitters will
not give you an extended display. In some situations it might not even give you a mirrored display. They are actually designed for a pretty specific application.
They are really designed to allow you to, for example, have your computer connected to either a monitor or projector without having to swap cables. Ideally you would turn on the monitor, then start up the computer and use it. When you want to use the projector, you shut down the computer, turn off the monitor, turn on the projector and start the computer back up.
If you want to add an additional display to your computer, the easiest solution we have now is a
USB to DVI adapter. They can drive a DVI or VGA adapter, and simply connects to a USB port on the computer. The adapter has its own video controller and ram.