Home
Class 12
MATHS
If f: A to B, g:B to C are two bijective...

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.

Answer

Step by step text solution for 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. by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • IPE:MAY-2017[TS]

    SRISIRI PUBLICATION|Exercise SECTION-B (SAQs)|7 Videos
  • IPE:MAY-2017(AP)

    SRISIRI PUBLICATION|Exercise SECTION-3|6 Videos
  • IPE:MAY-2018(AP)

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

Similar Questions

Explore conceptually related problems

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.

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 to B is a bijective function then prove that (i) fof^(-1) = I_(B)

If f:A to B is a bijective function then prove that (ii) f^(-1) of =I_(A) .

If f : A to B and g : B to C aer two oneto (surjective) functions then the mapping gof : A to C is surection.

If f : A to B and g : B to C are bijective functions then (gof ) ^(-1) = f ^(-1) o g ^(-1)

If f : A to B and g :B to X and h : C to D are functions then h o (gof = (hog) of

If f : A to B be a bijection, then prove that f ^(-1) of = I _(A)

If f : A to B be a bijection, then prove that f of ^(-1) = I _(B)

If f : R to R, g : R to R are even and odd functions respectively, prove that fg is an odd function.