Home
Class 12
MATHS
Let A=R-{3} and B=R-{1} consider the fun...

Let `A=R-{3}` and `B=R-{1}` consider the function `f:AtoB` defined by `f(x)=frac(x-2)(x-3)`. Is f one-one and onto? Justify your answer.

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    BODY BOOKS PUBLICATION|Exercise EXERCISE|8 Videos

  • RELATIONS AND FUNCTIONS

    BODY BOOKS PUBLICATION|Exercise EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Let A=R-{3} and B=R-{1} Consider the function f:ArarrB defined by f(x)=frac(x-2)(x-3) Is f one-one and onto? Justify your answer.

Let A = R - {-3} and B = R - {1} Consider the function f : A rarr B defined by f(x) = (x-2)/(x-3) . Is f one-one and onto ? Justify your answer.

Let A=R-{3} and B=R-{1} consider the function f:ArarrB defined by f(x)=(x-2)/(x-3) .Is it invertible?Why?

Let A=R-{3} and B=R-{1} consider the function f:ArarrB defined by f(x)=(x-2)/(x-3) .If invertible,find inverse of f(x).

Show that the function f:RtoR defined by f(x)=2x-3 is one-one and onto. Find f^-1

A fuction f:RrarrR defined by f(x)=(2x-3)/7 .Is f a one-one function?Why?

Show that the function f in A=R-{2/3} defined as f(x)=(4x+3)/(6x-4) is one-one and onto.

Consider the function f:R rarr R defined by f(x)=|x-1| . Is f(2)=f(0) ,why?

Prove that the function f: N rarr N , defined by f(x)=x^2+x+1 is one-one but not onto.

Consider the function f:R to R defined by f(x)=|x-2| (iii)Draw the graph of f(x).

BODY BOOKS PUBLICATION-QUESTION PAPER 2020-EXERCISE
  1. Check whether y=e^(-3x) is a solution of the differential equation fra...

    Text Solution

    |

  2. Consider the following figure: Find the distance of PQ.

    Text Solution

    |

  3. Let A=R-{3} and B=R-{1} consider the function f:AtoB defined by f(x)=f...

    Text Solution

    |

  4. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

    Text Solution

    |

  5. Let A=R-{3}and B=R-{1}consider the function f:ArarrB defined by f(x)=(...

    Text Solution

    |

  6. If xy<1,tan^-1x+tan^-1y=........ a)tan^-1(frac(x-y)(1+xy)) b)tan^-1(f...

    Text Solution

    |

  7. Solve tan^-1 2x+tan^-1 3x=pi/4

    Text Solution

    |

  8. Find dy/dx if y=x^x+x^sinx.

    Text Solution

    |

  9. if y=xcosx, find frac(d^2y)(dx^2)

    Text Solution

    |

  10. intfracf(x)(tanx)dx=logabstanx+c, then f(x) is

    Text Solution

    |

  11. If d/(d x) f(x)=4 x^3-3/x^4 such that f(2)=0, then f(x) is a)x^4+1/x^3...

    Text Solution

    |

  12. The area bounded by the curve y=f(x), x-axis and the line x=a and x=b ...

    Text Solution

    |

  13. From the following figure, find the area of the region bounded by the ...

    Text Solution

    |

  14. Form the differential equation corresponding to the curve y=mx

    Text Solution

    |

  15. Consider the D.E dy/dx+y/x=x^2 Solve the D.E.

    Text Solution

    |

  16. Find a unit vector perpendicular to the plane ABC where A,B,C are poin...

    Text Solution

    |

  17. The Cartesian equation of two lines are (x+1)/7=(y+1)/-6=(z+1)/1 and...

    Text Solution

    |

  18. Find the shortest distance between the lines (x+1)/7=(y+1)/-6=(z+1)/1 ...

    Text Solution

    |

  19. If a plane intersects the co-ordinate axes at a,b,c respectively,write...

    Text Solution

    |

  20. Find the vector and cartesian equations of the plane that passes throu...

    Text Solution

    |