Home
Class 12
MATHS
Let S = {a, b, c} and T = {1, 2, 3}. Fi...

Let `S = {a, b, c}` and `T = {1, 2, 3}`. Find `F^–1` of the following functions F from S to T, if it exists: `F={(a,3),(b,2),(c,1)}`

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    PSEB|Exercise Exercise|118 Videos

  • PROBABILITY

    PSEB|Exercise Exercise|140 Videos

  • THREE DIMENSIONAL GEOMETRY

    PSEB|Exercise Exercise|77 Videos

Similar Questions

Explore conceptually related problems

Let S = {a, b, c} and T = {1, 2, 3} . Find F^–1 of the following functions F from S to T, if it exists: F={(a,2),(b,1),(c,1)}

Let S = {a,b,c} and T = {1,2,3}. Find F^-1 of the folowing functions F from S to T, if it exists. F = {(a,3), (b,2),(c,1)}

Let S = {a,b,c} and T = {1,2,3}. Find F^-1 of the folowing functions F from S to T, if it exists. F = (a,2),(b,1),(c,1)

Let E = {1, 2, 3, 4} and F = {1, 2}. Then the number of onto functions from E to F is :

Let S = {1,2,3}. Determine whether the function f: S rarr S defined below has inverse. Find f^-1 , if it exists: f= |(1,1),(2,2),(3,3)}

Let f = {(1 ,1), (2, 3), (0, -1), (-1, -3)} be a linear function from Z into Z. Find f (x).

Let A = {1, 2, 3}, B= {4, 5} and let f = {(1, 4), (2, 5), (3, 5)}. Show that ‘f’ is an onto function from A into B.

f and h are function from A rarr B, where A = {a, b, c, d} and B = {s, t, u} defined as follows f(a) = t, f (b) = s, f(c ) = s f(d) = u, h(a) = s, h(b) = t h(c ) = s, h(a) = u, h(d) = u Which one of the following statement is true?

Let S = {1, 2, 3} Determine whether the functions f : S rarr S defined as below have inverses. Find f ^–1 , , if it exists: f = {(1,3), (3,2), (2,1)}

Let A = {1, 2, 3}, B = {4, 5, 6, 7} and f = {(1, 4), (2, 5), (3, 6)} be a function from A to B. Show that f is one-one.

PSEB-RELATIONS AND FUNCTIONS-Exercise
  1. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

    Text Solution

    |

  2. Consider a binary operation ∗ on N defined as a * b = a^3 + b^3 Choose...

    Text Solution

    |

  3. Let f : RrarrR , be defined as f(x) = 10x + 7. Find the function g : ...

    Text Solution

    |

  4. Let f : WrarrW, be defined as f (n) = n – 1, if n is odd and f (n) = ...

    Text Solution

    |

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

    Text Solution

    |

  6. Show that the function f : Rrarr {x in R : – 1 < x < 1} defined by f(x...

    Text Solution

    |

  7. Show that the function f : R rarr R given by f (x) = x^3 is injective...

    Text Solution

    |

  8. Give examples of two functions f : NrarrZ and g : ZrarrZ such that g ...

    Text Solution

    |

  9. Give examples of two functions f : NrarrN and g : NrarrN such that g o...

    Text Solution

    |

  10. Given a non empty set X, consider P(X) which is the set of all subsets...

    Text Solution

    |

  11. Find the number of all one-one functions from set A = {1, 2, 3} to its...

    Text Solution

    |

  12. Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...

    Text Solution

    |

  13. Let S = {a, b, c} and T = {1, 2, 3}. Find F^–1 of the following funct...

    Text Solution

    |

  14. Consider the binary operations * : RxxRrarrR and o : RxxRrarrR define...

    Text Solution

    |

  15. Given a non-empty set X, let * : P(X)xxP(X)rarrP(X), be defined as A *...

    Text Solution

    |

  16. Define a binary operation * on the set {0, 1, 2, 3, 4, 5} as a*b = { a...

    Text Solution

    |

  17. Let A = {– 1, 0, 1, 2}, B = {– 4, – 2, 0, 2} and f, g : A rarr B, be f...

    Text Solution

    |

  18. Let A = {1, 2, 3} Then number of relations containing (1, 2) and (1, 3...

    Text Solution

    |

  19. Let A = {1, 2, 3} Then number of equivalence relations containing (1,...

    Text Solution

    |

  20. Number of binary operations on the set {a, b} is :

    Text Solution

    |