Home
Class 12
MATHS
D is domain and R is range of f(x) =sqrt...

D is domain and R is range of `f(x) =sqrt(x-1)+2 sqrt(3-x),` then

A

`D:[1,3]`

B

`D:(-oo,1]uu[3,oo)`,

C

`R:[1,sqrt(3)]`

D

`R:[sqrt(2),sqrt(10)]`

Text Solution

Verified by Experts

The correct Answer is:
A, D

NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise COMPREHENSION_TYPE|6 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise JEE ADVANCED|14 Videos
  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos
  • NUMBER THEORY

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

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

Similar Questions

Explore conceptually related problems

D is domain and R is range of f(x)=sqrt(x-1)+2sqrt(3-x), then

the range of f(x)=sqrt(x-1)+sqrt(3-x) is

Write the domain and range of f(x)=sqrt(2x-1)

The domain of f(x)=sqrt(x-1)+sqrt(3-x) is

" 1.Find the domain and range of "f(x)=sqrt(x-3)

Find the domain and range of f(x)=sqrt(((x-2)/((3-x)))

Find the domain and range of f(x)=(1)/(sqrt(x-2))

Find the domain and range of f(x)=sqrt(4-16x^(2)) .

Find the domain and range of f(x)=sqrt(3-2x-x^(2))

Find the domain and range of f(x)=sqrt(x^(2)-3x+2)

RESONANCE-RELATION, FUNCTION & ITF-MCQ_TYPE
  1. For n,mepsilonN,n|m means that n is a factor of m then relation | is

    Text Solution

    |

  2. If f(x)="sin ln" ((sqrt(4-x^(2)))/(1-x)) then

    Text Solution

    |

  3. D is domain and R is range of f(x) =sqrt(x-1)+2 sqrt(3-x), then

    Text Solution

    |

  4. If [2 cos x ] + [sin x]=-3, then the range of the function, f (x)=sin...

    Text Solution

    |

  5. Let D-=[-1,1] is the domain of the following functions state which of ...

    Text Solution

    |

  6. Letf(x)=x^(135)+x^(125)-x^(115)+x^(5)+1. If f(x) divided by x^(3)-x, t...

    Text Solution

    |

  7. The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and ont...

    Text Solution

    |

  8. f:NtoN where f(x)=x-(-1)^(x) then f is

    Text Solution

    |

  9. Which one of the following pair of functions are NOT identical?

    Text Solution

    |

  10. If the graph of the function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is symmet...

    Text Solution

    |

  11. If f(x)={(x^(2),xle1),(1-x,xgt1):} & composite function h(x)=|f(x)|+f(...

    Text Solution

    |

  12. Let f(x)={0 for x=0 x^2 sin (pi/x) for -1 < x < 1(x != 0), then : x |...

    Text Solution

    |

  13. If g:[-2,2]vecR , where f(x)=x^3+tanx+[(x^2+1)/P] is an odd function, ...

    Text Solution

    |

  14. If f:Rto[-1,1] where f(x)=sin((pi)/2[x]), (where [.] denotes the great...

    Text Solution

    |

  15. If f(x)=(2x(sinx+tanx))/(2[(x+2pi)/(pi)]-3) then it is (where [.] deno...

    Text Solution

    |

  16. Identify the statement(s) which is/are incorrect?

    Text Solution

    |

  17. If F(x)=(sinpi[x])/({x}) then F(x) is (where {.} denotes fractional pa...

    Text Solution

    |

  18. Let f:R->R and g:R->R be two one-one and onto functions such that they...

    Text Solution

    |

  19. Which of the following pairs of functions are identical?

    Text Solution

    |

  20. Q. if sin^-1 x+sin^-1 y+sin^-1 z=(3pi)/2, then

    Text Solution

    |