Determine whether is one–one on

MATHEMATICS · Subjective · AoPS · Mathematics · Functions · Functions

Problem

Determine whether g(x)=∣x−2∣g(x)=|x-2| is one–one on R\mathbb R. If it is not, write one interval of the form (−∞, a](-\infty,\,a] on which gg is one–one.

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