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Let f : {1,3,4}to {1,2,5} and g : {1,2,5...

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

Text Solution

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The correct Answer is:
gof` ={(1,3), (3,1), (4,3)}`
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Knowledge Check

  • Let A = {1,2,3,4} and R be a relation in A given by R = {(1,1) (2,2) (3,3) (4,4) (1,2) (2,1) (3,1) (1,3)} . Then R is

    A
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    B
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    C
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    D
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  • 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
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