Home
Class 12
MATHS
If f:ArarrB,g:BrarrC are two bijective f...

If `f:ArarrB,g:BrarrC` are two bijective functions then P.T `("gof")^(-1)=f^(-1)"og"^(-1)`

Answer

Step by step text solution for If f:ArarrB,g:BrarrC are two bijective functions then P.T ("gof")^(-1)=f^(-1)"og"^(-1) 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[AP]

    SRISIRI PUBLICATION|Exercise SECTION-B (SAQs)|7 Videos

  • IPE:MAT-2019(AP)

    SRISIRI PUBLICATION|Exercise IPE:MAY-2019(AP) (MATHS-1A)|22 Videos

  • IPE:MAY-2014

    SRISIRI PUBLICATION|Exercise SECTION-C|7 Videos

Similar Questions

Explore conceptually related problems

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

If A={1,2,3},B=(alpha,beta,gamma),c=(p,q,r) and (f:A to B,g:B to C are defined by f={(1,alpha),(2,gamma),(3,beta)},g={(alpha,q),(gamma,p)} then show that f and g are bijective functions and (gof)^(-1)=f^(-1)og^(-1).

If A = {1,2,3}, B = {alpha, beta, gamma} , C = {p,q,r} and f: A to B, g : B to C are difined by f = {(1,alpha ), (2, gamma) , (3 , beta)}, g = { (alpha, q), (beta, r) , (gamma, p)}, then show that f and g are bijective function and (gof) ^(-1) = f ^(1) og ^(-1).

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

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

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

If f:RrarrR,g:RrarrR are defined by f(x)=3x-1 and g(x)=x^(2)+1 , then find ("gof")(2a-3)

Home
Profile