Re:Math education: It’s not about numbers, it’s about learni...
by Chris2048 on Tuesday July 11, 2017 @08:17PM
(#14749189)
Yep, that was on purpose somewhat. A choice of +/- will essentially make a restricted codomain, to positives say.
That means switching the variables around switched domain/codomain.
An example where they are both the same:
y(x) = x + 1 <=> x(y) = y - 1
x(y) = (+/-) sqrt(y)
is not valid notation. On the left hand side you are stating that x is a function of y. But on the right hand side your usage of (+/-) indicates that y can go to two different values. Hence x is not a function of y. To be a function one must have each input going to a distinct output.