Complex sentence: Fox premiered the Animation Domination branding on May 1,2005, in time for the last sweeps period of the 2004--05 television season, with the series premiere of "American Dad!".
Split into simpler sentences: Fox premiered the Animation Domination programming block on May 1,2005, in time for the last sweeps period of the 2004--05 television season. The programming block debuted with the series premiere of "American Dad!".