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Determine , whether the following binary...

Determine , whether the following binary operation on the set N is associative and commutative: `a*b = (a+b)/2 AA a,b in N`.

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MODERN PUBLICATION-RELATIONS AND FUNCTION-EXAMPLE
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  5. Find fof^-1 and f^-1 of for the function: f(x) = 1/x, x ne0, also prov...

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  6. Show that the number of binary operations on {1, 2} having 1 as identi...

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  7. Determine whether the following binary operation on the set N is assoc...

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  8. Determine , whether the following binary operation on the set N is ass...

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  9. Consider the binary operation: R xx R rarr R defined as : a** b = |...

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  10. Define a binary operation * on the set A = {0,1,2,3,4,5}, given by a *...

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  11. Given set A = {1,2,3}, then the relation : R = {(1,1),(2,2),(3,3)} is ...

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  12. Give an example of a relation which is symmetric and transitive but no...

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  13. A bijective function is both one-one and onto. (True/False)

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  14. What is the domain of the function f(x) = 1/(x-2)

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  15. If f(x) = {:{(x-2, x<2),(3,x=2),(x+2, x>3):} then, find f(8)

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  16. If a*b = 3a + 4b, then the value of 3*4 is ……….

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  17. If a*b = a/2 + b/3, then the value of 2*3 is …………

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  18. Let A {1,2,3}, for x,y,inA, let R let xRy if and only if x>y. Write d...

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  19. Is -a the inverse of a inN for addition '+' on N?

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  20. Show that 1/a is not the inverse of a in N for multiplication operatio...

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