Home
Class 12
MATHS
Let, ZZ be the set of integers and the m...

Let, `ZZ` be the set of integers and the mapping `f:ZZ to ZZ` be given by `f(x) = 2x-1,` state which of the following sets is equal to the set `{x:f(x) =3}` ?

A

{3}

B

{2}

C

{0}

D

{-1}

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Very short answer type questions|80 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Short Answer Type Question|60 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Assertion Type|2 Videos
  • REAL NUMBERS

    CHHAYA PUBLICATION|Exercise Exercise (Long Answer Type Questions)|10 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos

Similar Questions

Explore conceptually related problems

Let ZZ be the set of integers and the mapping f: ZZ rarr ZZ be defined by, f(x)=x^(2) . State which of the following is equal to f^(-1) (4) ?

Let Z be the set of integers and the mapping f:Z rarr Z be defined by, f(x):x^2 . State which of the following is equal to f^(-1)(-4) ?

Let ZZ be the set of integers and f : Zzto ZZ be defined by, f(x) =2x^(2) -3x +6. Then which of the following set is equal to the set {x:f(x)=8} ?

Let A={0,1,2,3,4} and ZZ be the set of integers. If the mapping f:Ato ZZ be defined by f(x) =x^2-5x+2 , state which of the following is the pre-image of 2?

Let RR be the set of real numbers and the mapping f: RR rarr RR be defined by f(x)=2x^(2) , then f^(-1) (32)=

If R denotes the set of all real numbers then the mapping f:R to R defined by f(x)=|x| is -

If ZZ is the set of intergers and n in ZZ, then the value of n(n+1) (2n +1) -

Let ZZ be the set of integers and f:ZZ rarr ZZ be defined by , f(x)=x^(2) . Find f^(-1) (16) and f^(-1) (-4)

Let RR be the set of real numbers and the mapping f: RR rarr RR and g: RR rarr RR be defined by f(x)=5-x^(2) and g(x) =3x -4 , state which of the following is the value of (f o g) (-1) ?

The mapping f:ZZ rarr ZZ defined by , f(x)=3x-2 , for all x in ZZ , then f will be ___

CHHAYA PUBLICATION-RELATION AND MAPPING -Multiple choice question
  1. Let R be a relation from set A do a set B, then

    Text Solution

    |

  2. Total number of relations that can be defined on set A = {a,b,c} is

    Text Solution

    |

  3. State which of the following is the total number of relations from set...

    Text Solution

    |

  4. Let the relation R on set A = {1,2,3,4,5} be defined as follows: R={...

    Text Solution

    |

  5. Let the relation R on set A = {1,2,3,4} be defined as follows: R={(1...

    Text Solution

    |

  6. Let RR be the set of real numbers and the mapping f:RRtoRR be defined ...

    Text Solution

    |

  7. The total number of relation from the set {p,q} to the set {e,f} ...

    Text Solution

    |

  8. Let A={0,1,2,3,4} and ZZ be the set of integers. If the mapping f:Ato ...

    Text Solution

    |

  9. If A= {-2,1,0,-1,2}, B={-6,-5,-3,0,3} and the mapping f:A to B is defi...

    Text Solution

    |

  10. Let, ZZ be the set of integers and the mapping f:ZZ to ZZ be given by ...

    Text Solution

    |

  11. If f(x+2) =2x^2-3x+5 then f(1) =

    Text Solution

    |

  12. If f(x) = 4^x then f(log(4)x) =

    Text Solution

    |

  13. The total number of relation from the set {1,6,7}} to the set {1,...

    Text Solution

    |

  14. State for which of the following, the two functions f(x) =x and phi(x)...

    Text Solution

    |

  15. If f(x) = 3x - 9 , state which of the following is the value of f(x^2-...

    Text Solution

    |

  16. If f(x-1) = 7x - 5 find f(x) and f(x+2).

    Text Solution

    |

  17. If 2f(x) + 3f(-x)=15-4x, state which of the following is the value of ...

    Text Solution

    |

  18. If 3f(x) + 2f(-x) =5(x-2), state which of the following is the value o...

    Text Solution

    |

  19. If f(x)=log(3)xand phi (x) = x^2 , state which of the following is the...

    Text Solution

    |

  20. The domain of definition of the function f(x)=sqrt(x+3) is :

    Text Solution

    |