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  4. The function f: N → N defined by f(x) = x - 5 [ (x/5) ], where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :

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Q. The function $f : N \to N$ defined by $f(x) = x - 5 \left[ \frac{x}{5} \right]$, where $N$ is the set of natural numbers and $[x]$ denotes the greatest integer less than or equal to $x$, is :

JEE MainJEE Main 2017Relations and Functions - Part 2

Solution:

$f (10)=10-5(2)=0$ which is not in co-domain.