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Let f: N-[1]vecN be defined by, f(x)= th...

Let `f: N-[1]vecN` be defined by, `f(x)=` the highest prime factor of`n` . Show that `f` is neither one-one nor onto. Find the range of `fdot`

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`f:N−1=N`

`f(x)=` highest prime factor of `n`

`f` is not obviously onto because a set of natural numbers is not equal to the set of prime numbers, also set of prime numbers is a subset of the natural number set.

range of `f` is set prime numbers
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