19 September, 2016
The pair, who did not face a single break point for the entire match, were taken to a third-set tiebreak during which they had a match point, but the Slovaks forced a fourth set which was also to be decided in a breaker.
"I'm only playing for another four or five years, so", Kyrgios said after his straight-sets 6-3, 6-2, 6-4 victory against little-known Andrej Martin.
Their first appearance together in the green and gold has yielded immediate success and will no doubt ensure the Aussies are a force when the 2017 Davis Cup starts after next year's Australian Open.
Sam Groth and John Peers will play the Slovakian doubles team of Martin and Igor Zelenay on Saturday before reverse singles on Sunday.
Kyrgios was expected to have little trouble with the world No.127 Martin and cruised to victory in 1hr 40min to take his Davis Cup singles record to 4-3.
Australian No.2 Bernard Tomic was to play Jozef Kovalik in Friday's second singles match.
Australia have booked their passage back into the Davis Cup world group after continuing their unbeaten run against Slovakia in Sydney on Saturday.
Friendly advice: Lleyton Hewitt speaks to Nick Kyrgios during the Davis Cup tie at Sydney Olympic Park Tennis Centre.
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Djokovic was criticised for taking a medical time-out to have his toes taped while trailing Stan Wawrinka by two sets to one and a service break in last week's US Open final.
"It was a great feeling", he said after securing his first point for Australia in two years.
"If we're unseeded and we play one of the top eight nations, I'd be looking at the possibility of around six of those being home ties and two of them being away ties", Hewitt said.
With cotton wool stuffed in his nose to stem the flow of blood for most of the third set, Kyrgios wasn't deterred by the setback that has occurred so often throughout his career.
"Rusty [Hewitt] was trying to keep me engaged the whole time and I thought my performance today was very good".
"I mean, I want to play".
1 told a news conference Tuesday, "I just got a niggling injury that came out of nowhere nearly. I think he gets a bit of a laugh from some of the stuff you write and he throws it out there", said the Australian captain.
"It's tough. It breaks the momentum and obviously the other guy doesn't really know what's going on either".