Home
Class 12
MATHS
Give an example of a relation f such tha...

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

Text Solution

Verified by Experts

Let f = `phi`
`because f^(-1) = phi rArr f cup f^(-1) = phi`
Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTION

    MBD PUBLICATION|Exercise QUESTION BANK|103 Videos

  • SEQUENCES AND SERIES

    MBD PUBLICATION|Exercise QUESTION BANK |56 Videos

Similar Questions

Explore conceptually related problems

Give an example of a relation f such that dom f = rng f

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

Give an example of a relation f such that dom f supset rng f

Give an example of a relation f such that dom f subset rng f

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

Give the shape of XeO_2F_2

Let f be an invertible function . Then prove that (f^(-1))^(-1) = f.

Construct an example to show that f(A nn B )!= f(A) nn f(B) where A nn B != theta.

Give the relation between 1C, 1V and 1F.

MBD PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
  1. Give an example of a relation f such that dom f subset rng f

    Text Solution

    |

  2. Give an example of a relation f such that dom f supset rng f

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |