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Let ∗ be a binary operation on the set Q...

Let `∗` be a binary operation on the set Q of rational numbers as follows: `a*b=(a-b)^2` find is it commutative?

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PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  2. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  3. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  4. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  5. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  6. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  7. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  8. Let ∗ be a binary operation on the set Q of rational numbers as follow...

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  9. Let A = N xx N and ∗ be the binary operation on A defined by (a, b) *...

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  10. State whether the following statement is true or false. Justify:For an...

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

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

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

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

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

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

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

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

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

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

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