Home
Class 12
MATHS
Show that the inverse of a bijective fun...

Show that the inverse of a bijective function is unique.

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPER -1

    SHARAM PUBLICATION|Exercise EXERCISE|41 Videos

  • MODEL QUESTION PAPER -16

    SHARAM PUBLICATION|Exercise EXERCISE|45 Videos

Similar Questions

Explore conceptually related problems

Show that the inverse of a bijective is also a bijection.

What is inversion ?

Given a function defined by y = f(x) = sqrt(4- x^(2)) 0 lt= x lt= 2 , 0 lt= y lt=2. Show that f is bijective function .

State as true or false: The integral of a function is not unique.

Let A and B be sets. Show that f : A xx B rarr B xx A such that f (a,b) = (b,a) is bijective function .

Show that the functions are injective f(x) = sinx on [ 0, (pi)/(2)]

Is vec 0 unique

Let f be defined by f(x)=4x + 3 for all x""inR. Show that it is bijective and determine the inverse of f.

The number of bijective function from a set A to itself when A contains n elements is-

SHARAM PUBLICATION-MODEL QUESTION PAPER -15-EXERCISE
  1. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

    Text Solution

    |

  2. Find two positive numbers whose product is 256 and whose sum is least.

    Text Solution

    |

  3. Integrate:inta/(b+ce^x)dx

    Text Solution

    |

  4. Integrate:int sec(sqrtx)/(sqrtx)dx

    Text Solution

    |

  5. Prove that int0^(pi/2)(sin^nx)/(sin^nx+cos^nx)dx=pi/4

    Text Solution

    |

  6. Find the area bounded by y=sinx,y=0,x=pi/2

    Text Solution

    |

  7. Solve : (x+y)dy +(x-y)dx = 0.

    Text Solution

    |

  8. If hati +hatj+hatk and 2hati -alphahatj+3hatk are orthogonal to each o...

    Text Solution

    |

  9. If the magnitude of the difference of two unit vectors is sqrt3 then f...

    Text Solution

    |

  10. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  11. If veca=2vecb and vecc=-3vecb, then what is the angle between veca and...

    Text Solution

    |

  12. If l1,m1,n1andl2,m2,n2 are the direction cosines of two mutually perpe...

    Text Solution

    |

  13. Find the value of k for which f(x)={{:((sqrt(1+kx)-sqrt(1-kx))/(x)", ...

    Text Solution

    |

  14. Find the derivative of ((x-1)/(x^2+5))^-4 cos^-1((1-x^2)/(1+x^2))

    Text Solution

    |

  15. Use the function f(x) = x^(1/x),x gt 0 to show that e^pi )grt pi^e.

    Text Solution

    |

  16. Find the area enclosed by y=4x-1 and y^(2)=2x.

    Text Solution

    |

  17. If [[x,x^2,x^3-1],[y,y^2,y^3-1],[z,z^2,z^3-1]]=0 then prove that xyz...

    Text Solution

    |

  18. Show that the inverse of a bijective function is unique.

    Text Solution

    |

  19. Prove the following "tan"^(-1)(2a-b)/(bsqrt(3))+"tan"^(-1)(2b-a)/(as...

    Text Solution

    |

  20. Solve the following LPP graphically Maximizez=20x+10y Subject to x+2...

    Text Solution

    |