A function `f` from integers to integers is defined as `f(x)={n+3, n in od d n/2,n in e v e n` suppose `k in ` odd and `f(f(f(k)))=27` . Then the sum of digits of `k` is__________

A function f from integers to integers is defined as f(n)={(n+3",",n in odd),(n//2 ",",n in even):} Suppose k in odd and f(f(f(k)))=27. Then the value of k is ________

If f: N to N defined as f(x)=x^(2)AA x in N, then f is :

A function f from the set of natural numbers to integers defined by f(n)={(n-1)/2,\ w h e n\ n\ i s\ od d-n/2,\ w h e n\ n\ i s\ e v e n is (a) neither one-one nor onto (b) one-one but not onto (c) onto but not one-one (d) one-one and onto both

Show that the function f: N rarr N defined by f(x)= 2x + 3 , where x in N , is not bijective.

A function f from the set of natural numbers to integers is defined by n when n is odd f(n) =3, when n is even Then f is (b) one-one but not onto a) neither one-one nor onto (c) onto but not one-one (d) one-one and onto both

Let f : N rarr N be defined as f(x) = 2x for all x in N , then f is

check that f : N- N defined by f(n)={(n+1)/2,(if n is odd)),(n/2,(if n is even)) is one -one onto function ?

Let f: N->N be defined0 by: f(n)={(n+1)/2, if n is odd (n-1)/2, if n is even Show that f is a bijection.

Prove that the function f(x)=x^n is continuous at x = n , where n is a positive integer.

Prove that the function f:N to N , defined by f(x)=x^(2)+x+1 is one-one but not onto.