Home
Class 12
MATHS
The function f:N->N defined by f(x)=x-5[...

The function `f:N->N` defined by `f(x)=x-5[x/5]` where N is a set of natural numbers, then

A

one-one and onto.

B

one-one but not onto.

C

onto but not one-one

D

neither one-one nor onto.

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 1: Types of Relations, Inverse of a Relation)|14 Videos

  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-1: CONCEPT BUILDER (TOPICWISE) (TOPIC 2: Mappings, Mapping of Functions, Kinds of Mapping of Functions)|19 Videos

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 2|30 Videos

  • SEQUENCES AND SERIES

    DISHA PUBLICATION|Exercise Exercise -2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

The function f:N rarr N defined by f(x)=x-5[(x)/(5)] where N is a set of natural numbers,then

If f:N rarr N is defined by f(x)=2x+5 then f is

Define a function f:R rarr R by f(x)=max{|x|,|x-1|,...|x-2n|} where n is a fixed natural number then int_(0)^(2n)f(x)dx is

The mapping f : N to N given by f(n)=1+n^(2), n in N , where N is the set of natural numbers, is

A mapping from N to N is defined as follows F:N rarrN given by f(n) = (n+5)^(2),n in N (N is the set of natural numbers) then

If f:NrarrZ defined as f(n)={{:((n-1)/(2),":"," if n is odd"),((-n)/(2),":", " if n is even"):} and g:NrarrN defined as g(n)=n-(-1)^(n) , then fog is (where, N is the set of natural numbers and Z is the set of integers)

DISHA PUBLICATION-RELATIONS AND FUNCTIONS-2-EXERCISE-2: CONCEPT APPLICATOR
  1. The function f:N->N defined by f(x)=x-5[x/5] where N is a set of natur...

    Text Solution

    |

  2. If R be a relation from A = {1,2,3,4} to B= {1,3,5} i.e., (a,b) in R...

    Text Solution

    |

  3. Let r be relation from R (set of real numbers) to R defined by r={(a,b...

    Text Solution

    |

  4. Let R be a relation on the set of all real numbers defined by xRy iff ...

    Text Solution

    |

  5. Let f:Rrarr R be a function defined by, f(x)=(e^|x|-e^-x)/(e^x+e^-x t...

    Text Solution

    |

  6. If X and Y are two non-empty sets where f: X->Y,is function is define...

    Text Solution

    |

  7. Let f(x)=sinz and g(z)=cos z. If denotes a composition of functions,...

    Text Solution

    |

  8. If f: R to R, g , R to R be two funcitons, and h(x) = 2 "min" {f(x) - ...

    Text Solution

    |

  9. The relation R defined in A= {1, 2, 3} by aRb if |a^2-b^2| leq 5. Whi...

    Text Solution

    |

  10. Let R = {(x, y) : x, y in N and x^2-4xy+3y^2 = 0}, where N is the set...

    Text Solution

    |

  11. If f(x)=sinx+cosx and g(x)=x^2-1, then g(f (x)) is invertible in the ...

    Text Solution

    |

  12. If f(x)=x/(x-1), then (fofofo......of)(x) is equal to

    Text Solution

    |

  13. Statement-1: If f:R to R and g:R to R be two functions such that f(x)...

    Text Solution

    |

  14. Which of the following functions is NOT one-one ? 1. f:R to R defined...

    Text Solution

    |

  15. If f(x)=2x+abs(x),g(x)=1/3(2x-abs(x)) and h(x)=f(g(x)), domain of unde...

    Text Solution

    |

  16. If f(x)=sqrt(3|x|-x-2) and g(x)=sinx, then domain of (fog)(x) is

    Text Solution

    |

  17. Letf: A rarr B be a function then show that f is a bijection if and on...

    Text Solution

    |

  18. Let A = N xx N and ** be the binary opertation on A defined by (a, b) ...

    Text Solution

    |

  19. If the binary operation o. is defined on the set Q^+ of all positive r...

    Text Solution

    |

  20. Find the inverse of the function: f:(-oo,1]vec[1/2,oo],w h e r ef(x)=2...

    Text Solution

    |

  21. Let f:N rarr R be the function defined by f(x)=(2x-1)/2 and g:Q rarr Q...

    Text Solution

    |