PSEB-RELATIONS AND FUNCTIONS-Exercise
- Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...
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- Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...
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- Let f : RrarrR , be defined as f(x) = 10x + 7. Find the function g : ...
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- Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...
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- 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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- Find the number of all one-one functions from set A = {1, 2, 3} to its...
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- Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...
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- Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...
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- Consider the binary operations * : RxxRrarrR and o : RxxRrarrR define...
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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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- Number of binary operations on the set {a, b} is :
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