The function f:R^2toR^2 defined by f(x,y)=(2xy,x^2-y^2) is one-one on the set:

(C) (x,y)inR^2/tfrac12<x<1, y<1/4

Q42Section II (Mathematics)42 of 190

Squaring a complex number is injective away from antipodal pairs

The function $f:\mathbb{R}^2\to\mathbb{R}^2$ defined by $f(x,y)=(2xy,x^2-y^2)$ is one-one on the set:

Pick an option to check your answer.

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