Barcelona as substitutes two days after they joined the defending champions on loan just hours before the summer transfer window closed.
Having made an underwhelming start to the new campaign with a goaless draw against Getafe, Barca boss Xavi will have been relieved to see his side go on a run of three straight league victories in a row before the international break. 
They now come up against a Betis side who currently sit seventh in the table, following their 1-0 victory over Rayo Vallecano last time out.
Betis, lining up with a back four composed only of former Barcelona players, played with attacking intent, unlike many other teams who will visit the temporary Olympic Stadium home of the Spanish champions.
Ayoze Perez blasted into the side netting as Manuel Pellegrini's side started well.
However three of Barcelona's summer signings combined to put the hosts ahead after 25 minutes.
Cancelo won the ball back with a thumping tackle and Oriol Romeu dropped a cross into the area for Felix.
The on-loan Atletico forward controlled the ball, knocked it past goalkeeper Rui Silva and then squeezed home clinically from a tight angle.
Lewandowski doubled Barcelona's lead when he ran onto Andreas Christensen's pass and slotted home, but the goal was crafted by Felix, whose clever dummy allowed the ball to find the Polish striker.
Willian Jose blasted another attempt over the bar around the same stage of the game, and was then denied at close range by Ter Stegen who made an excellent stop.
The second half saw Felix set off a slick passing move concluded by Ferran Torres being unable to convert, and then score again approaching the hour only to be ruled offside.
Torres made up for his earlier blip with a free kick bent expertly around the wall to make it three.
Brought off to a standing ovation, the Spain forward was replaced by Raphinha as Felix also departed for Lamine Yamal and Romeu made way for Ilkay Gundogan.
Félix moved to Barcelona in a bid to relaunch a promising career that had stalled after the 23-year-old fell out with Atletico Madrid coach Diego Simeone and failed to impress on a loan deal at Chelsea last season.
His goal came after Cancelo recovered the ball and Oriol Romeu met his run into the box with a lobbed pass. Félix missed on his first effort to strike the ball, but he was quick enough to dribble around Silva and thread in a shot from a narrow angle.
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