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Consider a binary operation ∗ on N defin...

Consider a binary operation `∗` on `N` defined as `a * b = a^3 + b^3` Choose the correct answer: Is ∗ neither commutative nor associative?

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. State whether the following statement is true or false. Justify:For an...

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  2. State whether the following statement is true or false. Justify: If ∗...

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  3. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

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  4. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

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  5. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

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  6. Let f : RrarrR , be defined as f(x) = 10x + 7. Find the function g : ...

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  7. Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...

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  8. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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  9. Show that the function f : Rrarr {x in R : – 1 < x < 1} defined by f(x...

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  10. Show that the function f : R rarr R given by f (x) = x^3 is injective...

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  11. Give examples of two functions f : NrarrZ and g : ZrarrZ such that g ...

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  12. Give examples of two functions f : NrarrN and g : NrarrN such that g o...

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  13. Given a non empty set X, consider P(X) which is the set of all subsets...

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  14. Find the number of all one-one functions from set A = {1, 2, 3} to its...

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  15. Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...

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  16. Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...

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  17. Consider the binary operations * : RxxRrarrR and o : RxxRrarrR define...

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  18. Given a non-empty set X, let * : P(X)xxP(X)rarrP(X), be defined as A *...

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  19. Define a binary operation * on the set {0, 1, 2, 3, 4, 5} as a*b = { a...

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  20. Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0, 2} and f, g : A rarr B, be f...

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