The 20-time Grand Slam victor, who turned 37 earlier this month, revealed that taking the fight to his opponents was key to his continued success, ahead of the US Open later this month.
The 20-time major victor skipped Toronto last week to pace himself with the tournament at Flushing Meadows followed by the Laver Cup in Chicago in mid-September.
With Rafael Nadal having withdrawn from the Western and Southern Open after his Rogers Cup win, Federer did find himself facing a little resistance from the German, deflecting two break points and getting his own break and holding on to the advantage for a first set lead.
"I felt good in that first match, to be honest, walking out, hardly any nerves".
Seeded second in Cincinnati, Federer said smart scheduling has been key to his longevity on the ATP circuit. So there is only so much you can really do.
"It's nice to have played a match so that my last match was not the Anderson match. you've kind of turned the page. It's a good thing".
Murray last played 11 days ago in a Washington third-round match which took him three hours to win and ended at 3 a.m.
"Of course, the big goal is the US Open".
The contest was the first for the Swiss since losing to Kevin Anderson in five sets in the Wimbledon quarter-finals on July 11.
Iran Supreme Leader calls for action to face 'economic war'
Iranian officials had already rejected the offer but it is the first time Mr Khamenei has publicly commented. But Khamenei ruled out the possibility of war with the United States.
Canadian Denis Shapovalov beat USA tournament debutant Frances Tiafoe 7-6 (8/6), 3-6, 7-5 Sam Querrey beat ninth-seeded American compatriot John Isner 6-4, 6-7 (5/7), 7-6 (7/5).
Former world number one Djokovic needed nine match points to see off Steve Johnson at the ATP Masters 1000 tournament on Monday. Especially after losing 6-3 2-6 6-3 to Czech Petra Kvitova in Cincinnati.
But there will no repeat of those giant-killing feats in OH, where 11th seed Goffin dispatched the young Greek 7-5 6-3.
South Korea's Chung Hyeon rallied past a struggling Jack Sock for a 2-6, 6-1, 6-2 victory.
Petra Kvitova overcame Serena Williams in an epic three-set encounter in the second round at the Cincinnati Open winning 6-3, 2-6, 6-3.
But the 23-times grand slam champion dug deep in the second, thumping serves and blasting returns to the delight of the supportive crowd under the lights.
It was Serena's second-round loss comes on the back of her heaviest career defeat, a 6-1 6-0 loss to Britain's Johanna Konta in the Silicon Valley Classic First Round. "I started the year very well". Her ball was coming very fast. and I was just trying to react as fast as I could and just put one ball in.
"I competed too hard in the first set to sort of just let the match slip and not compete, give myself a chance to win, at least".