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 ________

A function f from the set of natural numbers N to the set of integers Z is defined by f(n)={((n-1)/(2),"when n is odd"),(-(n)/(2),"when n is even"):} Then f(n) is -

A function f from the set of natural numbers to the set of 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 (a) neither one-one nor onto (b) one-one but not onto (c) onto but not one-one (d) one-one and onto both

A mappin f : N rarrN where N is the set of natural numbers is defined as f(n)=n^(2) for n odd f(n)=2n+1 for n even for n inN . Then f is

Let f(x)=(x-1)(x-2)(x-3)...(x-n),n in N ,a n d f'(n)=5040. Then the value of n is________

suppose for every integer n, int_n^(n+1)f(x)dx=n^2 then the value of int_(-2)^4 f(x)dx is

Let f:N->N be defined by f(x)=x^2+x+1,x in N . Then f(x) is

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

Let f be a function from the set of positive integers to the set of real number i.e f : N rarr R , such that f(1) = 1 and r=1 to n ∑ ​ rf(r)=n(n+1)f(n),∀n≥2' then the value of 2126f(1063)

Let f: N->Z be a function defined as f(x)=x-1000. Show that f is an into function.