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:ArarrB` 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

  • MATRICES

    MAXIMUM PUBLICATION|Exercise EXAMPLE|119 Videos
  • PROBABILITY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|144 Videos

Similar Questions

Explore conceptually related problems

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.

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).

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

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

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

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 rarr R defined by f(x)=|x-2| (ii)Complete the following table.

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

MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Let A=R-{3} and B=R-{1} Consider the function f:ArarrB defined by f(x)...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. find frac(dy)(dx),if y=x^x+x^sinx

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. if {df(x)}/dx=4x^2-3/x^4, given f(2)=0. Find f(x)

    Text Solution

    |

  10. Area bounded by the curve y=f(x),x axis and the linesx=a and x=b is

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. Let two independent events A and B such that P(A)=0.3,P(B)=0.6.Find ...

    Text Solution

    |

  18. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Find...

    Text Solution

    |

  19. Let two independent events A and B such that P(A)=0.3,P(B)=0.6 Fin...

    Text Solution

    |

  20. Given two independent events A and B such that P(A)=0.3,P(B)=0.6. find...

    Text Solution

    |