A fine finish from Santi Cazorla put Arsenal ahead in the first half and then midfielder Aaron Ramsey continued his prolific goalscoring form with a brilliant second as Wenger's men clinched a 2-0 win in the top-of-the table clash.
The victory came on the back of a 2-0 home loss to Chelsea in the Capital One Cup in midweek and Wenger was pleased with his side's positive response.
"It was a convincing win against a good team, and that's what we wanted. Of course everybody was waiting to see how we responded today, and we did that in a very positive manner," he said.
"We got a good goal, and after that I felt we had many opportunities to make the difference and then Ramsey scored a stunning goal, but we had chances before and after.
"But overall what you want is good focus, great dynamic in the team and overall it was a very convincing performance."
The win saw Arsenal move five points clear at the top of the table above nearest challengers Liverpool and Chelsea, who lost 2-0 to Newcastle in yesterday's early kick-off.
Wenger admits that scenario is good for morale in the team and among supporters, but pointed out it is still early days.
"It's positive and nice, but of course it's very early in the season," he said. "It's good for the confidence of the team and for the ambition as well. Hopefully it gets everybody around the team to support us and continue to do that."
All of the pre-match hype had centred on what impact Liverpool forward Luis Suarez would have against the club which tried to sign the Uruguay forward for £40,000,001 in the summer.
However, he remained largely in the background as Arsenal answered the critics who had questioned their character for a sustained title bid following successive home defeats by Borussia Dortmund in the Champions League and that Capital One Cup against Chelsea in midweek.
The shadow boxing that dominated the early stages was broken when Cazorla fired the Gunners ahead somewhat against the run of play on 19 minutes, lashing the ball home after his bullet header had come back off the post. Ramsey then made sure of all three points when on the hour he cracked in a sublime 25-yard half-volley for his 10th goal of an impressive campaign as Wenger's side renewed belief ahead of next week's European trip to Dortmund and Premier League game at Manchester United.
Liverpool manager Brendan Rodgers had few complaints about the result after seeing his side suffer only their second defeat of the season.
"I thought the best team won. Their mobility and passing was better than ours and we could've done better with the two goals," said Rodgers, who nevertheless praised his side for their fighting spirit. "We kept going all night, the players have been brilliant in their application. They went right to the end. We created chances,we just couldn't put the ball in the net."
Despite the loss, Liverpool can still reflect back on a fine start to the season and Rodgers said: "I said that after 10 games it's a good analysis, you can look at the league and see where you're at.
"My players have been brilliant in this opening period, we're going to be in with a shout."