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)`

Promotional Banner

Topper's Solved these Questions

  • IPE:MARCH-2019(TS)

    SRISIRI PUBLICATION|Exercise SECTION-C|6 Videos

  • IPE:MAY -2017[AP]

    SRISIRI PUBLICATION|Exercise SECTION-C (LAQs)|6 Videos

Similar Questions

Explore conceptually related problems

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

SRISIRI PUBLICATION-IPE:MAT-2019(AP)-IPE:MAY-2019(AP) (MATHS-1A)
  1. IF A=[{:(2,-4),(-5,3):}] the find A+A' and AA'.

    Text Solution

    |

  2. Find the rank of the matrix [(1,4,-1),(2,3,0),(0,1,2)]

    Text Solution

    |

  3. IF the position vectors of the points A,B,C are -2overlinei+overlinej-...

    Text Solution

    |

  4. Find the vector equation of the plane passing through the points bar(i...

    Text Solution

    |

  5. overlinea=2overlinei-overlinej+overlinek,overlineb=overlinei-3overline...

    Text Solution

    |

  6. Sketch the graph of sin 2x in the intervals (0,pi).

    Text Solution

    |

  7. P.T (i) sin^2 52""1^@/2-sin^2 22""1^@/2=(sqrt3+1)/(4sqrt2) sin^2 52""1...

    Text Solution

    |

  8. If sinhx=3" then show that "x=log(3+sqrt10)

    Text Solution

    |

  9. Show that the four points -overlinea+4overlineb-3overlinec,3overlinea+...

    Text Solution

    |

  10. IF overlinea+overlineb+overlinec=overline0,|overlinea|=3|overlineb|=5a...

    Text Solution

    |

  11. If alpha,beta are the solutions of the equation acostheta+bsintheta=c...

    Text Solution

    |

  12. If 0 lt x lt pi/2 then solve cot^2x-(sqrt3+1)cotx+sqrt3=0

    Text Solution

    |

  13. P.T Tan^-1""1/7+Tan^-1""1/13-Tan^-1""2/9=0

    Text Solution

    |

  14. Prove that (1+cos(A-B)cosC)/(1+cos(A-C)cosB)=(a^(2)+b^(2))/(a^(2)+c^(2...

    Text Solution

    |

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

    Text Solution

    |

  16. Using Mathematical Induction , prove that statement for all n inN ...

    Text Solution

    |

  17. Solve |{:(x-2,2x-3,3x-4),(x-4,2x-9,3x-16),(x-8,2x-27,3x-64):}|=0

    Text Solution

    |

  18. Apply the test of rank to examine whether the equations x+y+z=6,x-y+z=...

    Text Solution

    |

  19. Fo any four vectors overlinea,overlineb,overlinec and overlined, prove...

    Text Solution

    |

  20. In DeltaABC,(r1+r2)sec^2""C/2=

    Text Solution

    |