Relations and F...

Let R be a relation on the set of integers given by aRb  a = 2^k.b for some integer k. Then, R is 

Let W denote the words in the English dictionary. If in the relation R = {(x, y) ∈ W x W}, the words x and y have at least one letter in common, then R is

R₁ is a relation defined by R₁ = {(a, b)|, a  b, a, b  R}. R₁ is

Set N of all natural numbers defines the relation R by aRb if and only if the GCD of a and b is 2. R is

The inverse of the function y =  is

If, then

Which of the following functions is an even function?

If f(x) = 2x - 6, then f(f(f(-2))) is equal to

If , then is equal to

Let R be relation over set N  N and is defined by (a, b) R (c, d)   a + d = b + c. the R is

^{_{Let L denote the set of all straight lines in a plane. If a relation R is defined by}} , ^{_{then R is}}

If f : [1, )  [2, ) is given by f(x) = x + , then f ^–1(x) is equal to

If [x] denotes the greatest integer f(x) = [x] and g(x) = |x|, then the value of is

If the function f: R - {- b} → R - {1} be defined by f(x) = x + a/x + b (a ≠ b), then

The inverse of the function  is