Home
Class 11
MATHS
The function f: NvecN(N is the set of na...

The function `f: NvecN(N` is the set of natural numbers) defined by `f(n)=2n+3i s` (a) surjective only (b) injective only (c) bijective (d) none of these

A

surjective

B

injective

C

bijective

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|10 Videos

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|40 Videos

  • HYPERBOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

f: R->R given by f(x)=x+sqrt(x^2) is (a) injective (b) surjective (c) bijective (d) none of these

Let R be the set of real numbers. If f:R->R is a function defined by f(x)=x^2, then f is injective but not surjective surjective but not injective bijective none of these (a) injective but not surjective (b) surjective but not injective (c) bijective (d) non of these

Show that f: R->R defined by f(x)=(x-1)(x-2)(x-3) is surjective but not injective.

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

Let A={x in R :-1lt=xlt=1}=B . Then, the mapping f: A->B given by f(x)=x|x| is (a) injective but not surjective (b) surjective but not injective (c) bijective (d) none of these

A function f from the set of natural numbers to integers is defined by n when n is odd f(n) =3, when n is even Then f is (b) one-one but not onto a) neither one-one nor onto (c) onto but not one-one (d) one-one and onto both

If n is a natural number, then 9^(2n)-4^(2n) is always divisible by (a) 5 (b) 13 (c) both 5 and 13 (d) none of these

The function f: R->R , f(x)=x^2 is (a) injective but not surjective (b) surjective but not injective (c) injective as well as surjective (d) neither injective nor surjective

Classify f: R->R , defined by f(x)=3-4x as injection, surjection or bijection.

A function f from the set of natural numbers to integers defined by f(n)={(n-1)/2,\ w h e n\ n\ i s\ od d-n/2,\ w h e n\ n\ i s\ e v e n is (a) neither one-one nor onto (b) one-one but not onto (c) onto but not one-one (d) one-one and onto both

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. Let A={x,y,z}=B={u,v,w) and f:A to B be defined by f (x)=u, f(y)=v, f(...

    Text Solution

    |

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

    Text Solution

    |

  3. The function f: NvecN(N is the set of natural numbers) defined by f(n)...

    Text Solution

    |

  4. The composite mapping fog of the maps f:R to R , f(x)=sin x and g:R to...

    Text Solution

    |

  5. If function f:RtoR is defined by f(x)=3x-4 then f^(-1)(x) is given by

    Text Solution

    |

  6. f : R rarr R is a function defined by f (x) = 10 x - 7. If g = f^(-1),...

    Text Solution

    |

  7. Let A={x in R : xlt=1} and f: A->A be defined as f(x)=x(2-x) . Then, ...

    Text Solution

    |

  8. If f(x)=x^n , n in Nandgof(x)=ng(x) then g(x) can be

    Text Solution

    |

  9. If the function f: R->R be such that f(x)=x-[x] , where [x] denotes th...

    Text Solution

    |

  10. f:R to R given by f(x)=5-3 sin x, is

    Text Solution

    |

  11. Let f:A->B be a function defined by f(x) =sqrt3sin x +cos x+4. If f is...

    Text Solution

    |

  12. Let f: A to B; g: B to A be two functions such that gof = IA. Then; f ...

    Text Solution

    |

  13. Let f: A to B; g: B to A be two functions such that fog = IB. Then; f ...

    Text Solution

    |

  14. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

    Text Solution

    |

  15. If functions f:A to B and g : B to A satisfy gof= I(A), then show that...

    Text Solution

    |

  16. Suppose f:A to B " and " B to C. (i) Prove that if f is onto and g i...

    Text Solution

    |

  17. If f: A->B and g: B->C are one-one functions, show that gof is one-o...

    Text Solution

    |

  18. Let [x] denote the greatest integer less than or equal to x . If f(x...

    Text Solution

    |

  19. If f(x)=sin^(2)x, g(x)=sqrtx and h(x)=cos^(-1)x, 0 le xle 1, then

    Text Solution

    |

  20. If f(x)=(25-x^(4))^(1//4)"for "0 lt x lt sqrt5, "then"f(f((1)/(2)))=

    Text Solution

    |