"I'm happy in all aspects of my game that things were working - foot work, offensive play, serve, return - it was all there".
"I was so excited, and literally it was the match of my career", Williams said of her joy of playing Federer.
Switzerland have two wins from two games ahead of Thursday's meeting with Greece, while USA take on Britain next.
Tennis Perth Roger Federer cruises to win at Hopman Cup
Williams then found her range and dominated the tie break to wrap up the first set in 63 minutes. Roger Federer plays an outstanding match against Cameron Norrie in the Hopman Cup opener.
"I love seeing tennis on the up-swing and it's really got bigger and better over the years thanks to the great people who have played this sport for many, many years". Williams said she has been getting prepared to play Federer.
The much-hyped contest lived up to the billing immediately with Federer nearly running down Williams' smash into the open court.
However, despite the disappointing defeat which leaves the United States unable to reach the final of an event it has won six times, Serena clearly relished testing herself against Federer.
She is targeting Margaret Court's record of 24 Grand Slam titles and could secure that honour this season.
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The Chicago Bears finished the 2018 regular season in impressive fashion with their 24-10 victory over the Minnesota Vikings . Bears coach Matt Nagy had implied as much Friday after Long finished a week of practices that were "pretty much", full speed.
Unfortunately for Federer, the powerful shot cannoned directly into the side of his face - causing the Swiss maestro to rub the sore area.
Federer's appearances at the past two Hopman Cups laid the groundwork for successful Australian Open campaigns.
"It's the age of social media", Federer said with a laugh when told about Williams' plan. I really enjoyed playing against Serena.
According to BBC, Switzerland, who won the cup a year ago, will play Greece on Thursday in their final round-robin match, and the US will take on Great Britain.
Federer faced three break points in his first service game, but was near flawless from that point on as he wrapped up the contest in 57 minutes at RAC Arena on Sunday night. "I wasn't missing any rhythm", Federer said after his win over world No.91 Norrie.
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At North Colorado Medical Center in Greeley, Colorado , doctors and nurses for a time had difficulty accessing patient records. State police operate three regional PSAPs and a fourth is staffed by State 911 at the state police headquarters in Framingham.