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Show that *:RxxRrarrR, given by (a,b)rar...

Show that `*:RxxRrarrR, given by (a,b)rarra+4b^2` is a binary operation.

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Show that vv : R xx R rarr R given by (a, b) rarr max. [a, b) and ^^: R xx R rarr R given by (a, b) rarr min (a, b) are binary operations.

Let P be the set of all subsets of a given set X. Show that cup:PxxPrarrP, given by (A,B)rarrAcupB and cap:PxxPrarrP, given by (A,B)rarrAcapB are binary operations on the set P.

Show that +:RxxRrarrR and xx:RxxRrarrR are commutative binary operations, but -:RxxRrarrR and -::RxxRrarrR are not commutative.

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : on Z^+, define '*' by a * b = a-b

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On Z^+ , deifne '*' by a * b = |a-b|.

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On Z^+ , define '*' by a * b = a-b

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On R, define '*' by a * b = ab^2

Determine whether or not each of the defination of '*' given below gives a binary operation. In the event that * is not a binary operation, give justification for this : On Z^+ , define'*' by a * b = ab

Determine whether or not each of the definition of '*' given below gives a binary operation. In the event that '*' is not a binary operation, give justification for this: On Z^+, define * by a * b = a - b

PRADEEP PUBLICATION-RELATIONS AND FUNCTIONS-EXERCISE
  1. If f : R rarr R is defined by f(x) = x^2 – 3x + 2, find f (f (x)).

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

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  3. Show that *:RxxRrarrR, given by (a,b)rarra+4b^2 is a binary operation...

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  4. Let a mapping '*' from R xx R to R be defined by a * b = 2 a + 2 b for...

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  5. Let a binary operation '*' be defined on Z by a * b = 2 a + 2b for all...

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  6. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  7. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  8. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  9. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  10. Let S be the set of all real numbers except 1 and 'o' be an operation ...

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  11. Consider the operations '*' and o+ on the set R of all real numbers de...

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  12. Consider the operations '*' and o+ on the set R of all real numbers de...

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  13. Consider the operations '*' and o+ on the set R of all real numbers de...

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  14. Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary opera...

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  15. Let A = Q xx Q,Q being the set of rationals. Let '*' be a binary opera...

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  16. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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  17. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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  18. Let A = N xx N being the set of natural numbers. Let '*' be a binary ...

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  19. Let A = R xx R and * be a binary operation on A defined by : (a,b) * ...

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  20. Let A= Q xx Q. Let'*' be a binary operation on A defined by: (a, b) * ...

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