Prove that the function \( f: \mathbf{N} \rightarrow \mathbf{N} \) ...

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Prove that the function \( f: \mathbf{N} \rightarrow \mathbf{N} \) defined by \( f(x)=3 x-2 \) is one-one but not onto. Hint. 2 has no pre-image in \( \mathrm{N} \).
\( \mathrm{P} \)
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