Home
Class 12
MATHS
The domain and range of real function f ...

The domain and range of real function f defined by
`f(x)=sqrt(x-1)` is given by :

A

Domain = `(1, oo)`, Range = `(0, oo)`

B

Domain = `[1, oo)`, Range = `(0, oo)`

C

Domain = `[1, oo)`, Range = `[0, oo)`

D

Domain = `[1, oo)`, Range = `[0, oo]`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos
  • STATISTICS MEASURE OF DIPERSION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|28 Videos

Similar Questions

Explore conceptually related problems

The domain and range of real function f defined by : f(x)=(4-x)/(x-4) is given by :

Find the domain and the range of the real function f defined by f(x) = sqrt((x-1)) .

Find the domain and the range of the real function f defined by f(x)=|x-1|

The domain of the function f defined by : f(x)=(1)/(sqrt(x-|x|)) is :

Find the domain and range of the function defined by f(x) =( x-1)/( x+1)

The domain of the function defined by f(x)=cos^(-1)sqrt(x-1) is

The domain and range of the function f given by : f(x)=2-|x-5| is :

The domain of the function f:RrarrR defined by f(x)=sqrt(x^(2)-7x+12 is

The domain of the function f defined by f(x)=(x^(2)+2x+1)/(x^(2)-x-6) is given by :

The domain of the function f defined by : f(x)=sqrt(4-x)+(1)/(sqrt(x^(2)-1)) is equal to :

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. The domain of the function f defined by : f(x)=sqrt(4-x)+(1)/(sqrt(x^(...

    Text Solution

    |

  2. The domain and range of real function f defined by : f(x)=(4-x)/(x-4) ...

    Text Solution

    |

  3. The domain and range of real function f defined by f(x)=sqrt(x-1) is g...

    Text Solution

    |

  4. Find the domain of the function f(x)=(x^(2)+3x+5)/(x^(2)-5x+4)

    Text Solution

    |

  5. The domain and range of the function f given by : f(x)=2-|x-5| is :

    Text Solution

    |

  6. The domain for which the function defined by f(x) = 3x^2-1 and g(x) = ...

    Text Solution

    |

  7. Let f: R rarr R be defined by f(x)= (1)/(x) AA x inR, then f is

    Text Solution

    |

  8. Let f : R rarr R be defined by f(x) = 3x^2-5 and g : R rarr R by g(x...

    Text Solution

    |

  9. Which of the following functions from Z into Z is a bijection?

    Text Solution

    |

  10. Let f : R rarr R be a function defined by f(x) = x^3 + 5. Then f^-1(x)...

    Text Solution

    |

  11. Let f: A rarr B and g : B rarr C be the bijective funtions. Then (gof...

    Text Solution

    |

  12. If f(x)=(3x+2)/(5x-3), then :

    Text Solution

    |

  13. Let,f : [0,1] rarr [0, 1] be defined by f(x) = {(x, if x \ is \ rat...

    Text Solution

    |

  14. Let f : [2, oo) rarr R be the function defined by f(x) = x^2-4x+5. The...

    Text Solution

    |

  15. Let, f: N rarr R be the function defined by f(x) = (2x-1)/(2) and g : ...

    Text Solution

    |

  16. Let f: RrarrR be defined by f(x)={(2x , xgt3),(x^(2), 1ltxle3),(2x,xle...

    Text Solution

    |

  17. Let, f : R rarr R be given by f(x) = tan x. Then f^-1(1)=

    Text Solution

    |

  18. If a set has n elements then the total number of subsets of A is

    Text Solution

    |

  19. The number of non empty subsets of the set {1,2,3,4} is

    Text Solution

    |

  20. If A={1,2,3,4,5}, then the number of proper subsets of A is

    Text Solution

    |