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PLEASE SHOW ALL WORK IN A CONCISE PROOF WILL GIVE A LIKE: Prove g(x)=x^3 is an...

PLEASE SHOW ALL WORK IN A CONCISE PROOF WILL GIVE A LIKE:

Prove g(x)=x^3 is an injective map. Why does the argument in your proof not work the map h(x)=x^2?

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