Home
Class 12
MATHS
Let f:{1,\ 3,4\ }->{1,\ 2,\ 5} and g:{1,...

Let `f:{1,\ 3,4\ }->{1,\ 2,\ 5}` and `g:{1,\ 2,\ 5}->{1,\ 3}` be given by `f={(1,\ 2),\ (3,\ 5),\ (4,\ 1)}` and `g={(1,\ 3),\ (2,\ 3),\ (5,\ 1)}` . Write down `gofdot`

Text Solution

Verified by Experts

The correct Answer is:
`gof= {(1,3),(3,1),(4,3)}`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise COMPOSITE FUNCTIONS (Short Answer Type Question-I)|1 Videos

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise COMPOSITE FUNCTIONS (Short Answer Type Question-II)|5 Videos

  • RELATIONS & FUNCTIONS

    OSWAAL PUBLICATION|Exercise FUNCTION (Long Answer Type Questions-II)|4 Videos

  • PROBABILITY

    OSWAAL PUBLICATION|Exercise Random Variable and Its Probability Distribution ( Long Answer Type Questions -I )|14 Videos

  • SOLVED PAPER MARCH - 2018

    OSWAAL PUBLICATION|Exercise PART - E|3 Videos

Similar Questions

Explore conceptually related problems

If f : {1,3,4} to {1,2,5} and g: {1,2,5} to {1,3} are two functions given by f = {(1,2), (3, 5), (4, 1)} and g{(1,3),(2,3),(5,1)} . Write down gof.

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A′.

Knowledge Check

  • Let R be the relation in the set {(1,2,3,4} given by R ={(1,2), (2,2), (1,1) (4,4),(1,3), (3,3), (3,2)}. Choose the correct answer.

    A
    R is reflexive symmetric but not transitive.
    B
    R is reflexive and transitive but not symmetric.
    C
    R is symmetric and transitive but not reflexive.
    D
    R is an equivalence relation.

  • If A = [(2,-1,3),(-4,5,1)] and B = [(2,3),(4,-2),(1,5)] then :

    A
    only AB is defined
    B
    only BA is defined
    C
    AB and BA both are defined
    D
    AB and BA both are not defined .

    • Similar Questions

    Explore conceptually related problems

    Let f: {2,3,4,5}to {3,4,5,9}and g: {3,4,5,9}to {7,11,15} be function defined as f (2) =3, f (3) = 4, f (4) f (5)=5 and g (3) =g (4)=7 and g (5) =g (9) =11. Find gof.

    Let X = {1, 2, 3, 4} and Y = {1, 3, 5, 7,9} . Which of the following is relations from X to Y if R= { (1,1), (2,1), (3,3), (4, 3), (5,5)}

    If A = {:[( 1,1,-2),(2,1,-3),(5,4,-9)]:}, find |A|

    State { 2 ,3 , 4 } is a subset of { 1 , 2 , 3, 4 , 5 } ?

    If A=[(1,-2,3),(-4,2,5)] and B=[(2,3),(4,5),(2,1)] , then find AB, BA. Show that AB ne BA .

    Let U = { 1, 2, 3, 4, 5, 6, 7, 8, 9 }, A = { 1, 2, 3, 4}, B = { 2, 4, 6, 8 } and C = { 3, 4, 5, 6 } . Find (A′)′

    Home
    Profile