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PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
- If f : R rarr R is defined by f(x) = x^2 - 3x + 2, find f(f(x)).
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- Show that the function f : Rrarr {x in R : – 1 < x < 1} defined by f(x...
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- Show that the function f : R rarr R given by f (x) = x^3 is injective...
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- Give examples of two functions f : NrarrZ and g : ZrarrZ such that g ...
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- Give examples of two functions f : NrarrN and g : NrarrN such that g o...
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- Given a non empty set X, consider P(X) which is the set of all subsets...
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- Given a non - empty set, X , consider the binary operation ** : P(X) x...
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- Find the number of all onto functions formthe set {1,2,3,….,n} to itse...
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- Let S = {a,b,c} and T = {1,2,3}. Find F^-1 of the folowing functions F...
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- Let S = {a,b,c} and T = {1,2,3}. Find F^-1 of the folowing functions F...
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- Consider the binary operations * : R xx R to R and o: R xx R to R def...
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- Given a non-empty set X, let * : P(X)xxP(X)rarrP(X), be defined as A *...
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- Define a binary operation * on the set {0,1,2,3,4,5} as a*b = {:{(a+...
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- Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0, 2} and f, g : A rarr B, be f...
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- Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...
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- Let A = {1, 2, 3} Then number of equivalence relations containing (1,...
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- Let f : R to R be the signum function defined as f(x) = {{:(1, x gt 0...
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- Number of binary operations on theset (a,b) is
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- Fill in the blank: The number of relations that can be defined from ...
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- Let the relation R be defined in N by aRb if 2 a + 3 b = 30. Then R = ...
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