FSVO "multiple". If a receiver can record four or more channels, it would need four transponders as there are two frequency ranges and two polarisations. More likely the system would have four transponders with isolation between the clients.
In the case of terrestrial TV, all the receivers are fed from one aerial; there has to be an amplifier and isolation between the outlets in case someone shorts the output or feeds DC into the wire. (Some TVs provide DC, 5 or 12V for a masthead amplifier. It won't be needed, but the option to turn it on and off will be buried in the menus somewhere.)