Prove that f:R→ R defined by f(x)=x3 -5 is a bijection
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is a bijection if and only if f(x) is an injection and is Surjective.
If then f is an injection.
Therefore, f is an injection.
is Surjective if for all
Therefore f is Surjective
Thus, since is both injective and Surjective, it is a bijection