Home
Class 11
MATHS
Which of the following function from Z t...

Which of the following function from Z to itself are bijections? `f(x)=x^3` (b) `f(x)=x+2` `f(x)=2x+1` (d) `f(x)=x^2+x`

A

`f(x)=x^(3)`

B

`f(x)=x+2`

C

`f(x)=2x+1`

D

`f(x)=x^(2)+x`

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

Which of the following functions from A={x in R :-1lt=xlt=1} to itself are bijections? f(x)=|x| (b) f(x)=sin((pix)/2) (c) f(x)=sin((pix)/4) (d) none of these

Which of the following function/functions has/have point of inflection? f(x)=x^(6/7) (b) f(x)=x^6 f(x)=cosx+2x (d) f(x)=x|x|

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,\ 1] . Then, discuss whether the following functions from A to itself are one-one, onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Let A=[-1,1]dot Then, discuss whether the following functions from A to itself are one-one onto or bijective: f(x)=x/2 (ii) g(x)=|x| (iii) h(x)=x^2

Which of the following function is non-differentiable in domain? f(x)=(x-2)/(x^2+3) (b) f(x)=log|x| f(x)=x^3logx (d) f(x)=(x-3)^(3/5)

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

Examine the following functions for continuity. (a) f(x)=x-5 (b) f(x)=1/(x-5) (c) f(x)=(x^2-25)/(x+5) (d) f(x)=|x-5|

Which of the following function is (are) even, odd, or neither? (a). f(x)=x^2sinx (b). f(x)=log((1-x)/(1+x)) (c). f(x)=log(x+sqrt(1+x^2)) (d). f(x)=(e^x+e^(-x))/2

OBJECTIVE RD SHARMA ENGLISH-FUNCTIONS-Exercise
  1. If f(x) = (a-x^n)^(1/n) then fof(x) is (A) x (B) a-x (C) x^2 (D)...

    Text Solution

    |

  2. Let f(x) be defined on [-2,2] and be given by f(x)={(-1",",-2 le x l...

    Text Solution

    |

  3. Which of the following function from Z to itself are bijections? f(x)=...

    Text Solution

    |

  4. Which of the following functions from A={x in R :-1lt=xlt=1} to it...

    Text Solution

    |

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

    Text Solution

    |

  6. Let f : A to B and g : B to C be the bijective functions. Then (g of ...

    Text Solution

    |

  7. Let f : R rarr R, g : R rarr R be two functions given by f(x) = 2x - 3...

    Text Solution

    |

  8. Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

    Text Solution

    |

  9. Let f:N->N be defined by f(x)=x^2+x+1,x in N. Then f(x) is

    Text Solution

    |

  10. Let A={-1 le x le 1} and f:A to A such that f(x)=x|x| then f is:

    Text Solution

    |

  11. Let f: R-{3/5}->R be defined by f(x)=(3x+2)/(5x-3) . Then (a).f^-1(x)...

    Text Solution

    |

  12. If f(x)=2^(x),"then"f(0),f(1),f(2)..."are in"

    Text Solution

    |

  13. If the function f: RvecA given by f(x)=(x^2)/(x^2+1) is surjection, th...

    Text Solution

    |

  14. Which of the following functions is the inverse of itself? (a) f(x)=(1...

    Text Solution

    |

  15. If f(x) =(x-1)/(x+1)," then f(2x) is:"

    Text Solution

    |

  16. If f(x)=log((1+x)/(1-x))a n dg(x)=((3x+x^3)/(1+3x^2)) , then f(g(x)) i...

    Text Solution

    |

  17. If f(x)=a^x, which of the following equalities do not hold ? (i) f(...

    Text Solution

    |

  18. The interval in which the function y = f(x) = (x-1)/(x^2-3x+3) transfo...

    Text Solution

    |

  19. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |

  20. If f(x)=ax+b and g(x)=cx+d, then f(g(x))=g(f(x)) is equivalent to ...

    Text Solution

    |