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If f:A->B, g:B->C are bijective function...

If `f:A->B, g:B->C` are bijective functions show that `gof:A->C` is also a bijective function.

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If f: A to B, g:B to C are two bijective functions then prove that gof:A to C is also a bijective function.

If f : A to B and g: B to C are two bijective functions then prove that gof : A to C is also a bijection.

Knowledge Check

  • If f:AtoB and g:BtoC are both bijective functions then (gof)^(-1) is

    A
    `g^(-1)of^(-1)`
    B
    `f^(-1)og^(-1)`
    C
    fog
    D
    gof

  • If f: A-> B and g: B-> C be the bijective function, then (gof)^(-1) is:

    A
    `f^(-1)og^(-1)`
    B
    `fog`
    C
    `g^(-1)of^(-1)`
    D
    `gof`

    • Similar Questions

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    If f: A->B and g: B->C are onto functions, show that gof is an onto function.

    If f : A to B and g : B to C are two injective functions the prove that gof : A to C is also an injection.

    If f: A->B and g: B->C are one-one functions, show that gof is one-one function.

    If f: A->B and g: B->C are onto functions show that gof is an onto function.

    Show that the inverse of a bijective function is unique.

    If f:A rarr B and g:B rarr C are onto functions show that gof is an onto function.

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