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->Z` 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->ZZ 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).

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

Let f : R rarr given by f(x) = 3x^(2) + 5x + 1 . Find f(0), f(1), f(2).

RD SHARMA ENGLISH-FUNCTIONS-All Questions
  1. Define a function as a correspondence between two sets.

    Text Solution

    |

  2. 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

    |

  3. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  10. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  11. Write the following relations as sets of ordered pairs and find which ...

    Text Solution

    |

  12. If f,g,\ h are three functions defined from R\ to\ R as follows: Find ...

    Text Solution

    |

  13. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

    Text Solution

    |

  14. If f,g,\ h are three functions defined from R\ to\ R as follows: the r...

    Text Solution

    |

  15. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

    Text Solution

    |

  16. Let X={1,2,3,4}a n d\ Y={1,5,9, 11 , 15 , 16} Determine which of the ...

    Text Solution

    |

  17. Let A = {1, 2, 3, 4}, B = {1, 5, 9, 11 , 15 , 16}andf = {(1, 5), (2, 9...

    Text Solution

    |

  18. If f:R->R be defined by f(x)=x^2+1, then find f^(-1)(17) and f^(-1)(-3...

    Text Solution

    |

  19. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |

  20. If A = {p,q,r, s} and B = {1, 2, 3}, find which of the following is n...

    Text Solution

    |