The function f : N $ \to $ N defined by f (x) = x $-$ 5 $\left[ {{x \over 5}} \right],$ Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :
one-one and onto
one-one but not onto.
onto but not one-one.
neither one-one nor onto.
Solution
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