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Prove that the function f: N → N: f(x) = 3x is one-one and into.

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We know that

f (x1) = f (x2)

So we get

3x1 = 3x2 => x1 = x2

Here, f is one-one

Consider the number 2 in co domain N which has no natural image as 2

Here, f is onto.

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