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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.

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

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Knowledge Check

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

    A
    AB, BA exist and equal
    B
    AB, BA exist and not equal
    C
    AB exists and BA does not exist
    D
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  • If A=[(1,-2,3),(-4,2,5)],B=[(1,3),(-1,0),(2,4)] then 2A+3B'=

    A
    `[(5,-7,12),(1,4,22)]`
    B
    `[(1,-17),(1,-4),(0,2)]`
    C
    `[(19,-25),(-15,64)]`
    D
    `[(0,2),(1,0)]`

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