Home
Class 11
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.

Promotional Banner

Topper's Solved these Questions

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - A (Very Short Answer type questions)|10 Videos

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (Short Answer type questions)|9 Videos

  • MODEL PAPER 11

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - B (II. Short answer type questions)|7 Videos

  • MODEL PAPER 10

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (III. Long answer type questions)|8 Videos

  • MODEL PAPER 12

    VGS PUBLICATION-BRILLIANT|Exercise SECTION - C (Long Answer type questions)|9 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 : R to R, g : R to R are even and odd functions respectively, prove that fg is an odd function.