Tyrogue's friend area is mt. Discipline
Ho-oh.
at final island
There are hundreds of Pokemon that you can recruit in Pokemon rescue team. It would take hours to do everything. After you beat the game then you can recruit more Pokemon and buy more friend areas.
the same as moltres and articuno, you get it automatic. its the legendary island, you need all three Pokemon's for the sliver trench were lugia is.
i know in Pokemon mystery dungeon blue you don't need to buy or get it you need to fight him and let him to join your team say yes and you got rayquaza and its friend area!
Tyrogue's friend area is mt. Discipline
Its friend area is Cryptic Cave and can be brought from the friend area shop
When rayquaza asks to join the team you automatically unlock its friend area.
There's a list of all the Pokemon in that friend area that is found IN GAME when you go to a certain friend area
It is free when you battle and recruit him.
check gamefaqs.com
Ho-oh.
Stratos lookout
at final island
After finishing the main story you can purchase the Southern Island Friend Area from Wigglytuff in Pokemon Square.
its easy you just need the right Pokemon area for the Pokemon after magnamite becomes your friend if a Pokemon faints sometimes it will join you if you have the right area for it