I try to get the inverse of a simple function like x^2,x≥0
. Still, when I use InverseFunction Mathematica gives me back -(y^0.5)
which is indeed an inverse, but for x≤0:
InverseFunction[#^2 &]
InverseFunction::ifun: Inverse functions are being used. Values may be lost for multivalued inverses.
-Sqrt[#1] &
I know I could just fix the problem putting a minus before InverseFunction. But is there a way to choose which of the inverse function I can get back, when I deal with a non-injective function like x^2
? In other words, which is the option so that InverseFunction gives me back (y^0.5)
instead fo -(y^0.5)
?
Thank you