Home
Class 11
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 `1/(x-[x])` (b) `[x]-x` (c) not defined (d) none of these

A

`(1)/(x-[x])`

B

`[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

  • 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

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

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|+[x] , where [x] is the greatest integer less than or equal to x, the value of f(-2.5)+f(1.5) is

Let [x] denotes the greatest integer less than or equal to x and f(x)=[tan^(2)x] . Then

The domain of the function f(x)=cos^(-1)[secx] , where [x] denotes the greatest integer less than or equal to x, is

The function f(x)=(tan |pi[x-pi]|)/(1+[x]^(2)) , where [x] denotes the greatest integer less than or equal to x, is

The domain of the function f(x) = sqrt((4-x^(2))/([x]+2)) where [x] denotes the greatest integer less than or equal to x,is

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

Let f(x)=max. {x+|x|,x-[x]} , where [x] denotes the greatest integer less than or equal to x, then int_(-2)^(2) f(x) is equal to

The function, f(x)=[|x|]-|[x]| where [] denotes greatest integer function:

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If X={1,2,3,4}, then one-one onto mappings f:X to X such that f(1)=1, ...

    Text Solution

    |