Home
Class 12
MATHS
Let A=R-{3},B=R-{1}, and let f: AvecB be...

Let `A=R-{3},B=R-{1},` and let `f: AvecB` be defined by `f(x)=(x-2)/(x-3)` is `f` invertible? Explain.

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 2019

    XII BOARDS PREVIOUS YEAR|Exercise Section D 35 B|1 Videos

Similar Questions

Explore conceptually related problems

Let A=R-{3},B=R-{1}, and let f:A rarr B be defined by f(x)=(x-2)/(x-3) is f invertible? Explain.

Let A=R-{3},B=R-{1} " and " f:A rarr B defined by f(x)=(x-2)/(x-3) . Is 'f' bijective? Give reasons.

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 f:R-{(3)/(5)}rarr R be defined by f(x)=(3x+2)/(5x-3). Then

Let f:(2,oo)to X be defined by f(x)= 4x-x^(2) . Then f is invertible, if X=

XII BOARDS PREVIOUS YEAR-XII Boards-All Questions
  1. 4 कार्ड 1,3,5 और 7 हैं, एक कार्ड पर एक नंबर। दो कार्ड बिना प्रतिस्थापन...

    Text Solution

    |

  2. In a shop X, 30 tins of pure ghee and 40 tins of adulterated ghee whic...

    Text Solution

    |

  3. Let A=R-{3},B=R-{1}, and let f: AvecB be defined by f(x)=(x-2)/(x-3) i...

    Text Solution

    |

  4. A wire of length 36m is to be cut into two pieces. One of the piece...

    Text Solution

    |

  5. Using the method of integration, find the area of the triangle ABC, c...

    Text Solution

    |

  6. Find the equation of the plane through the line of intersection of ...

    Text Solution

    |

  7. If e^y(x+1)=1 , show that (d^2y)/(dx^2)=((dy)/(dx))^2 .

    Text Solution

    |

  8. Let A=[[2,-1],[3,4]],B=[[5,4],[7,4]],C=[[2,5],[3,8]]. Find a matrix D ...

    Text Solution

    |

  9. If x^my^n = (x + y)^(m+n), prove that (d^2y)/(dx^2)=0.

    Text Solution

    |

  10. Find the area enclosed between the parabola 4y=3x^2 and the straight l...

    Text Solution

    |

  11. A variable plane which remains at a constant distance 3p from the orig...

    Text Solution

    |

  12. Evaluate : int0^(3/2)|xsin pi x| dx

    Text Solution

    |

  13. Determine the value of ‘k’ for which the following function is continu...

    Text Solution

    |

  14. Find the distance between the planes 2x – y + 2z = 5 and 5x – 2.5y + ...

    Text Solution

    |

  15. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

    Text Solution

    |

  16. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

    Text Solution

    |

  17. Using properties of determinants, prove that |(a^2+2a, 2a+1,1), (2a+1,...

    Text Solution

    |

  18. Find the area bounded by the circle x^2 + y^2 = 16 and the line sqrt3y...

    Text Solution

    |

  19. Find the vector equation of line passing through the point (1,2,-4)...

    Text Solution

    |

  20. If |A| = 3 and A^-1 = [(3 -1), (-5/3 2/3)] then write the adj A.

    Text Solution

    |