Home
Class 11
MATHS
f :N rarr Z is defined byf(n)={(2,"if" n...

`f :N rarr Z is defined by`f(n)={(2,"if" n=3k,k in z),(10-n,"if"n=3k+1,k in z),(0, if n=3k+2,k in z):}`then `{n in N :f(n) gt 2}=`

A

{3,6,4}

B

{1,4,7}

C

{4,7}

D

{7}

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f: N rarr N be defined by f(x)=x^(2)+x+1 then f is

Let f:N rarr N defined by f(n)={{:((n+1)/(2) " if n is odd"),(n/2" if n is even"):} then f is

Let f:NtoN defined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if n is even"):}

The functon f: N rarr N , defined by f(n)=2n+3 , for all n in N , is (here N is the set of natural numbers)

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

Consider f: N to N, g : N to N and h: N to R defined as f(x) = 2x, g(y) = 3y + 4 and h(z) = sin z, AA x, y and z in N. Show that ho(gof) = (hog)of .

If f(1)=1 and f(n+1)=2 f(n)+1 , then f(n) is

On the set Z of all integers define f : Z-(0) rarr Z as follows f(n)= {(n/2, n \ is \ even) , (2/0 , n \ is \ odd):} then f is

Consider f:N to N, g : N to N and h: N to R defined as f (x) =2x,g (h) = 3y + 4 and h (z= sin z, AA x, y and z in N. Show that h(gof) = (hog) of.