The Gunners left the Emirates Stadium faithful bitterly disappointed with their start to the new Barclays Premier League campaign following a 2-0 home defeat by West Ham.
Having recovered with a hard-fought 2-1 win at Crystal Palace last weekend, Wenger believes it is time to deliver back at Ashburton Grove.
"If you want to have a successful season you want to be strong at home
We missed our first game and we had to look at ourselves," said Wenger, whose side had entered the new campaign on the back of winning the FA Community Shield against Chelsea at Wembley.
"I believe we responded very well at Crystal Palace
Now we need to come back to our usual strength that we have at home.
"For us against Liverpool is an important game because we know that a successful season is linked with our home strength and normally we are strong at home
This is an opportunity to show that."
Wenger added: "I believe that fans deserve a good home and away performance
We are here for that.
"Our job is to make people who love this club happy
When you don't do it, of course you feel guilty."
Liverpool have opened the new season with successive victories, albeit with some controversy surrounding Christian Benteke's winning goal against Bournemouth.
The Belgian, a Â£32.5million summer signing from Aston Villa, turned in Jordan Henderson's cross despite Philippe Coutinho also attempting to score while being in an offside position.
Wenger is not reading too much into the early-season form of any side.
"After two games, I don't know how strong Liverpool will be," he said.
"I just think we can be very strong and we want to show it in our next game."
Alexis Sanchez is expected to start against Liverpool.
The forward netted a deflected goal in the second half at Palace, capping another industrious display and one which came only a few weeks after helping Chile win the Copa America.
Wenger said: "On Monday night, he will not be short of full fitness
It is surprising because when he has not got the basic fitness required, he has the mental resources to dig deep and be combative to fight
He also has the talent."
Source : PA