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

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

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Let f = {x,y) in A xx B , x^2 + y^2 = 1}, where A = B = {1, -1 , 0 }
= {(1,0) (0,1),(-1,0),(0,-1)}
`f^(-1)` = {(0,1) (1,0),(0,-1),(-1,0)}
f
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MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Give an example of a relation f such that dom f supset rng f

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

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

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

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

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

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

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

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

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

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

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

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

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

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