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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)}`
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Let f: {1,3,4} rarr {1,2,5} and g : {1,2,5} rarr {1,3} be given by f={(1,2),(3,5),(4,1) and g {(1,3),(2,3) , (5,1) } . Write down gof.

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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.

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