Home
Class 11
MATHS
Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->...

Let `A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ` be given y `f(x)=x^2-2x-3.` Find: i. the range of `f` ii. pre images of 6,-3 and 5.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA ENGLISH|Exercise All Questions|100 Videos

  • GEOMETRIC PROGRESSIONS

    RD SHARMA ENGLISH|Exercise All Questions|256 Videos

Similar Questions

Explore conceptually related problems

Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Find: i. the range of f ii. pre images of 6,-3 and 5.

f(x)=(x-1)/(x^(2)-2x+3) Find the range of f(x).

Given f(x)=3x+2 . Find f^(-1)(x)

Let f: R \rightarrowR be given by f(x)=x^2+3. Find (i) {x :f(x)=28} (ii) the pre-images of 39 and 2 under fdot

Let f be a function f(x)=5x+2 , x∈N , Find the image of 3,4,5 .

Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

Let f: RrarrR be defined by f(x) = x^2 + 1 Then, pre images of 17 and -3 respectively, are

Let f be a function f(x)=x+3 , x ∈ N , Find the pre-image of 20,25,50 .

Let A = {-1, 1, 2, 3, 5}, B = {1, 4, 9, 11, 25, 29}. The rule f given by f(x) = x^(2) is a mapping from A to B. Find the domain and range of the function f.

If a function f:RtoR is defined by f(x)=x^(2)+1 , then pre-images of 17 and -3 respectively, are

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Let f be the subset of Z xxZ defined by f" "=" "{(a b ," "a" "+" "b)" ...

    Text Solution

    |

  2. Consider a rule f(x)=2x-3 associating elements of NN (set of natural n...

    Text Solution

    |

  3. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->ZZ be given y f(x)=x^2-2x-3. F...

    Text Solution

    |

  4. Let A={1,2},\ B={3,6} and f: A->B given by f(x)=x^2+2\ and\ g: A->B gi...

    Text Solution

    |

  5. Let f : R - {2} rarr R be defined as f(x) = (x^2 - 4)/(x-2) and g: R...

    Text Solution

    |

  6. Let f: ZZ->ZZ\ a n d\ g: ZZ->ZZ\ be functions defined by f={(n , n^2)...

    Text Solution

    |

  7. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){-5}

    Text Solution

    |

  8. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){26}

    Text Solution

    |

  9. Let f: R->R be a function given by f(x)=x^2+1. Find: f^(-1){10 , 37}

    Text Solution

    |

  10. Let f" "=" "{(1,1)," "(2," "3)," "(0, -1)," "(-1," "-3)} be a function...

    Text Solution

    |

  11. If f: RR->RR be defined as follows: f(x)={1,\ if\ x in QQ, -1,\ if\...

    Text Solution

    |

  12. If f: R->R be defined as follows: f(x)={1,\ if\ x in Q-1,\ if\ x !in ...

    Text Solution

    |

  13. Define a  function as a set of ordered pairs.

    Text Solution

    |

  14. Define a function as a correspondence between two sets.

    Text Solution

    |

  15. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  16. Let A={-2,\ -1,\ 0,\ 1,\ 2}a n d\ f: A->Z be given y f(x)=x^2-2x-3. Fi...

    Text Solution

    |

  17. If a function f: R->R be defined by f(x)={3x-2,\ x<0 1, x=0 4x+1, x >0...

    Text Solution

    |

  18. A function f: R->R is defined by f(x)=x^2dot Determine Range of f ii....

    Text Solution

    |

  19. Let f: R^+ -> R where R^+ is the set of all positive real numbers, be ...

    Text Solution

    |

  20. Let f: R->R whre R^+ is the set of all positive real numbers, be such ...

    Text Solution

    |