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State whether the following statements are true or false. Justify. If * is a commutative binary operation on N, then a*(b*c) = (c*b)*a

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
  1. let A = N xxN and * be the binary operation on A defined by : (a,b) * ...

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  2. State whether the following statements are true or false. Justify . Fo...

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  3. State whether the following statements are true or false. Justify. If ...

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

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

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

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

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  9. Show that the function f : R rarr R given by f(x) =x^2 is injective.

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

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

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

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  13. Given a non - empty set, X , consider the binary operation ** : P(X) x...

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  14. Find the number of all onto functions formthe set {1,2,3,….,n} to itse...

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  15. Let S = {a,b,c} and T = {1,2,3}. Find F^-1 of the folowing functions F...

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  16. Let S = {a,b,c} and T = {1,2,3}. Find F^-1 of the folowing functions F...

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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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