Home
Class 12
MATHS
Let f : [-1, -1/2] rarr [-1, 1] is defin...

Let `f : [-1, -1/2] rarr [-1, 1]` is defined by `f(x)=4x^(3)-3x`, then `f^(-1) (x)` is

A

`cos (1/3 cos^(-1) x)`

B

`cos (3 cos^(-1) x)`

C

`cos ((2pi)/3+1/3 cos^(-1) x)`

D

`sin (1/3 sin^(-1) x)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TEST PAPER

    RESONANCE|Exercise PHYSICS|43 Videos
  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos
  • SEQUENCE & SERIES

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

    RESONANCE|Exercise MATHEMATICS|263 Videos

Similar Questions

Explore conceptually related problems

Let f:[-1,3]rarr[-8,72] be defined as,f(x)=4x^(3)-12x, then f is

If the function f:[2,oo)rarr[-1,oo) is defined by f(x)=x^(2)-4x+3 then f^(-1)(x)=

Let f:R rarr R be the function defined by f(x)=x^(3)+5 then f^(-1)(x) is

Let f:R to R be defined by f(x)=3x-4. Then, f^(-1) (x) is

Let f:R rarr R be defined by f(x)=x^(2)-3x+4 for the x in R then f^(-1)(2) is

If f:[1, oo) rarr [2, oo) is defined by f(x)=x+1/x , find f^(-1)(x)

If the function, f:[1,oo]to [1,oo] is defined by f(x)=3^(x(x-1)) , then f^(-1)(x) is

Let f:DtoR , where D is the domain of f . Find the inverse of f if it exists: Let f:[0,3]to[1,13] is defined by f(x)=x^(2)+x+1 , then find f^(-1)(x) .

Let f:(2,4)rarr(1,3) be a function defined by f(x)=x-[(x)/(2)], then f^(-1)(x) is equal to:

If f:[1,oo)rarr[1,oo) is defined as f(x)=3^(x(x-2)) then f^(-1)(x) is equal to

RESONANCE-TEST PAPER-CHEMISTRY
  1. Let f : [-1, -1/2] rarr [-1, 1] is defined by f(x)=4x^(3)-3x, then f^(...

    Text Solution

    |

  2. Given that for a reaction of nth order, the integrated rate equation i...

    Text Solution

    |

  3. Which of the following plots will obtained for a conductomeric titrati...

    Text Solution

    |

  4. Which of the following reacts with NaOH to liberate a gas ?

    Text Solution

    |

  5. A six co-ordinate complex has the formula CoCl(3).5NH(3).H(2)O. Electr...

    Text Solution

    |

  6. Which kind of isomerism is shown by the complex [Co(NH(3))(5)(ONO)]SO(...

    Text Solution

    |

  7. Which of the following reacts completely with SO(2) without requiring ...

    Text Solution

    |

  8. An aqueous solution of borax is

    Text Solution

    |

  9. In the redox reaction . MnO(4)^(-)+C^(2)O(4)^(2-)+H^(+) rarr Mn^(2+)...

    Text Solution

    |

  10. Which of the following graph of potential energy represents the unimol...

    Text Solution

    |

  11. Which of the following wil rotate the plane of polarised light in the ...

    Text Solution

    |

  12. A tube of uniform cross sectional sectional area 1 cm^(2) is closed at...

    Text Solution

    |

  13. A vanadium electrically, if the magnetic moment (spin only) of the van...

    Text Solution

    |

  14. For a reaction CH(3)OCH(3) (g) rarr CH(4) (g)+H(2) (g)+CO(g) at 750K, ...

    Text Solution

    |

  15. How many of the following liberate O(2) on heating in a dry test tube ...

    Text Solution

    |

  16. Given that .................

    Text Solution

    |

  17. For the reaction .............

    Text Solution

    |

  18. Which of the ..........

    Text Solution

    |

  19. A six co-ordinate complex has the formula CoCl(3).5NH(3).H(2)O. Electr...

    Text Solution

    |

  20. Which kind .............

    Text Solution

    |

  21. Which of the ..........

    Text Solution

    |