Daemen is the company's first paying customer. His father heads investment management firm Somerset Capital Partners.
The flight comes nine days after rival
Richard Branson, the British billionaire businessman, was aboard his company
Virgin Galactic's rocket plane for its pioneering suborbital flight from New Mexico.
Bezos sought to downplay any rivalry with Branson.
"There's one person who was the first person in space. His name was Yuri Gagarin. And that happened a long time ago," Bezos said on the NBC's programme "Today," referring to the Soviet cosmonaut who reached space in 1961.
"I think I'm going to be number 570 or something. That's where we're going to be in this list. So this isn't a competition. This is about building a road to space so that future generations can do incredible things in space," Bezos said.
Funk was one of the so-called Mercury 13 group of women who trained to become astronauts for the first US human spaceflight program in the early 1960s. She passed the same rigorous testing as the Mercury Seven male astronauts in
NASA's space programme, though the women were denied the chance to become astronauts because of their gender.
"Back when Wally was part of the Mercury 13, all the testing that she did, she outperformed all of the men," Bezos said on "Today." "And we can confirm at 82 years old, she can still outperform all of the men. We've been doing the training with Wally. She can outrun all of us."
© Thomson Reuters 2021