Home
Class 12
MATHS
Let f:AtoA where A={x:-1lexle1}. Find wh...

Let `f:AtoA` where `A={x:-1lexle1}`. Find whether the following function are bijective
`x|x|`

Text Solution

Verified by Experts

The correct Answer is:
No

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SCQ_TYPE|96 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise MATCH THE COLUMN|2 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SSP|55 Videos
  • NUMBER THEORY

    RESONANCE ENGLISH|Exercise Exercise -2 (PART - II)|4 Videos
  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -2 (PART-II : PREVIOUSLY ASKED QUESTION OF RMO)|3 Videos

Similar Questions

Explore conceptually related problems

Let f:AtoA where A={x:-1lexle1} . Find whether the following function are bijective x^(4)

Find whether the following functions are one-one or many-one f(x)=sqrt(1-e^(1/x-1))

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

Find whether the following functions are even or odd or none f(x) = log(x+sqrt(1+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

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

Test whether the following functions are increasing or decreasing : f(x) = x−1/x ,x∈R,x≠0.

Let A={x:-1 le x le 1}=B be a function f: A to B. Then find the nature of each of the following functions. (i) f(x) = |x| " (ii) " f(x)=x|x| (iii) f(x)=x^(3) " (iv) " f(x)="sin"(pi x)/(2)

Find whether the following function is differentiable at x = 1 and x = 2 or not: f(x)={x ;x 2

RESONANCE ENGLISH-RELATION, FUNCTION & ITF-SUBJECTIVE_TYPE
  1. Check whether the following functions is/are many-one or one-one &...

    Text Solution

    |

  2. Check whether the following function is/are many -one or one-one & int...

    Text Solution

    |

  3. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  4. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  5. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  6. Let f:AtoA where A={x:-1lexle1}. Find whether the following function a...

    Text Solution

    |

  7. Let A be a set of n distinct elements. Then the total number of distin...

    Text Solution

    |

  8. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  9. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  10. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  11. Check whether following pairs of function are identical or not? f(x)...

    Text Solution

    |

  12. Find for what values of x the following functions would be identical. ...

    Text Solution

    |

  13. Let f(x)=x^2+x+1 and g(x)=sinx . Show that fog!=gof .

    Text Solution

    |

  14. Let f(x) = x^2, g(x) = sin x, h(x) =sqrtx, then verify that [fo(goh)] ...

    Text Solution

    |

  15. Find fog and gof if: f(x)=e^(x),g(x)=lnx

    Text Solution

    |

  16. Find fog and gof , if f(x)=|x| , g(x)=sinx

    Text Solution

    |

  17. Find fog and gof if: f(x)=sinx,g(x)=x^(2)

    Text Solution

    |

  18. Find fog and gof , if f(x)=x^2+2 , g(x)=1-1/(1-x)

    Text Solution

    |

  19. If f(x) = ln(x^2 - x + 2) ; RR^+ rarr RR and g(x) = {x} + 1; [1, 2] ra...

    Text Solution

    |

  20. If f(x)={ 1+x^2 ; x<=1 ,x+1; 1< x<=2 and g(x)=1-x ; -2<=x<=1 then d...

    Text Solution

    |