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Give an example of a relation f such tha...

Give an example of a relation f such that f `cap f^(-1) ne phi`

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Let f = {(1,3),(3,1)}
on A = {1,2,3} `therefore f^(-1)` = {(3,1),(1,3)}
so that `f cap f^(-1) ne phi`.
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MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Give an example of a relation f such that dom f cup f^(-1) = phi

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  2. Give an example of a relation f such that f = f^(-1)

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  3. Give an example of a relation f such that f cap f^(-1) ne phi

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  4. Let R = {(a,a^3) | a is a prime number less than 10 } Find R.

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  5. Let R = {(a,a^3) | a is a prime number less than 10 } dom R.

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  6. Let R = {(a,a^3) | a is a prime number less than 10 }.Find rng R.

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  7. Let R = {(a,a^3) | a is a prime number less than 10 }. Find R^(-1).

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  8. Let R = {(a,a^3) | a is a prime number less than 10 }.Find dom R^(-1...

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  9. Let R = {(a,a^3) | a is a prime number less than 10 }.Find rng R^(-1...

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  10. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  11. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  12. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  13. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  14. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  15. Let A = {1,2,3,4,5,6} and Let R be a relation on A defined by R {(a,b)...

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  16. Give an example of a relation which is not a function.

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  17. If X and Y are sets containing m and n elements respectively then wha...

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  18. Find the domain of the following functions : sqrt(9-x^2)

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  19. Find the domain of the following functions : x//(1+x^2)

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  20. Find the domain of the following functions : 1-absx

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