Home
Class 14
MATHS
If the function f: R->R be such that f(x...

If the function `f: R->R` be such that `f(x) = x-[x],` where `[x]` denotes the greatest integer less than or equal to `x,` then `f^-1(x)` is

A

[x]-x

B

1/x-[x]

C

not defined

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ELEMENTS OF ALGEBRA

    QUANTUM CAT|Exercise QUESTION BANK|196 Videos

  • GEOMETRY

    QUANTUM CAT|Exercise QUESTION BANK|547 Videos

Similar Questions

Explore conceptually related problems

If the function f:R rarr R be such that f(x)=x-[x], where [x] denotes the greatest integer less than or equal to x, then f^(-1)(x) is

If the function f:R rarr R be such that f(x)=x-[x], where [y] denotes the greatest integer less than or equal to y.then f^(1)(f) is

If f(x)=|x-1|-[x] , where [x] is the greatest integer less than or equal to x, then

Let f(x)=(x^(2)-9x+20)/(x-[x]) where [x] denotes greatest integer less than or equal to x), then

Let [x] denotes the greatest integer less than or equal to x. If f(x) =[x sin pi x] , then f(x) is

The function of f:R to R , defined by f(x)=[x] , where [x] denotes the greatest integer less than or equal to x, is

If f(x)=|x-1|-[x] (where [x] is greatest integer less than or equal to x ) then.

QUANTUM CAT-FUNCTIONS AND GRAPHS-QUESTION BANK
  1. The function f:NrarrN (N is the set of natural numbers defined by f(n)...

    Text Solution

    |

  2. The function f : R -> R is defined by f (x) = (x-1) (x-2) (x-3) is

    Text Solution

    |

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

    Text Solution

    |

  4. If f(x)=x^2+2 then f^-1(x) is :

    Text Solution

    |

  5. If f(x)=5^(x), then f^(-1)(x) is :

    Text Solution

    |

  6. If f(x)=(x)/(x+1), then f^(-1)(x) is :

    Text Solution

    |

  7. If f(x)=(x-1)/(x+1), then f^(-1)(x) is :

    Text Solution

    |

  8. The average weight of a group of 53 girls was calculated as 58 kgs. It...

    Text Solution

    |

  9. If f(x) is a one to one function, where f(x)=x^(2)-x+1, then find the ...

    Text Solution

    |

  10. What is the value of f '' ( x ): if f ( x ) = 3 x^ 2 - 7 x - 5

    Text Solution

    |

  11. P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B D(P(3, 5), S(5, 3)) is equal to :

    Text Solution

    |

  12. P(A, B)=AxxB,S(A,B)=A-B,D(A,B)=A+B P(S(D(7, 3), P(2, 3)), P(6, 5))) ...

    Text Solution

    |

  13. For every a, b in N a" @ "b=a^(2)" when "(a+b)" is even" =a^(2)-b^...

    Text Solution

    |

  14. What is the average of all two digit natural numbers?

    Text Solution

    |

  15. If p^(2) + q ^(2) = 7 pq, then the value of (p)/(q) + (q)/(p) is equal...

    Text Solution

    |

  16. If M(a, b)=a^(2)+b^(2)+ab,N(a, b)=a^(2)+b^(2)-ab. Find the value of M(...

    Text Solution

    |

  17. If f(x)=x^(3)-x^(2), then f(x+1) is :

    Text Solution

    |

  18. Find the value of [(5cup4)veevee(2cupcupcup3)]cup(8vee3):

    Text Solution

    |

  19. Which of the following is true?

    Text Solution

    |

  20. x@y = (x + y)^2 x#y = (x-y)^2 Find the value of (20@4)#35:

    Text Solution

    |