This video covers the Taming the Beast quest chain from the point just prior to Thotar gives you a taming Rod for just a Dire Mottled Boar in Razor Hill. Thotar provides you with a number of 3 taming rods, every one is different and will allow you tame beasts in the next order: Dire Mottled Boar, Surf Crawler and eventually an Armored Scorpid. recommended you read

Once you've completed the taming part of The hunt chain, you will have to head to Orgrimmar and talk to Ormak Grimshot within the Valley of Honor so as to unlock your pet handling skills: Tame Beast; Feed Pet; Revive Pet; and Beast Training.

Finally, don't forget to go to the Pet Trainer and get the Pet capabilities that you need to give to your companion pet.