Hackers 
they are when it comes to math 
Would subtraction also approximate division?
Yes.
Would negation also approximate the reciprocal?
I've always hated that it's called an "inverse". It's not an inverse. The inverse of square root is square. If they had called it "reciprocal", it would have been clear to me what it does, but "inverse" confused the heck out of me when I first saw it.
It's confusing for non-mathematicians, but (and you may know that) it is not incorrect. https://en.wikipedia.org/wiki/Inverse_element "In mathematics, the concept of an inverse element generalises the concepts of opposite (βx) and reciprocal (1/x) of numbers."
Shoulda just called it fast 
mapping()
"inverse" has a very specific meaning: inverse(x) * x = 1, x^2 * x != 1 for any x other than 1. So no, x^2 is not the inverse of sqrt(x)
The inverse is about the negative power right? Square root is the 0.5
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Worst example of this is the people who insist on tau over pi or using arcsin instead of sin^(-1)
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Never met someone using tau instead of 2pi but I have used it myself to teach people the unit circle.
Arcsin is r-slurred tho.
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