Home
Class 12
MATHS
Domain of definition of the functioni f(...

Domain of definition of the functioni `f(x)=3/(4-x^(2))+log_(10)(x^(3)-x)`, is:

A

`(1,2)`

B

`(-1,0)uu(1,2)`

C

`(1,2)uu(2,oo)`

D

`(-1,0)uu(1,2)uu(2,oo)`

Text Solution

Verified by Experts

The correct Answer is:
D
NA
Promotional Banner

Topper's Solved these Questions

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise INTEGER_TYPE|21 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MCQ_TYPE|31 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE|Exercise MATCH THE COLUMN|5 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

Domain of definition of the function f(x)=(9)/(9-x^(2)) +log_(10) (x^(3)-x) , is

The domain of the definition of the function f(x)=(1)/(4-x^(2))+log_(10)(x^(3)-x) is

The domain of definition of the function f(x)=sin^(-1)((x-3)/(2))-log_(10)(4-x) , is

Find the domain of the function : f(x)=(3)/(4-x^(2))+log_(10)(x^(3)-x)

" The domain of the function "f(x)=(3)/(4-x^(2))+log_(10)(x^(3)-x)" is "

The domain of f(x)=(3)/(4-x^(2))+log_(10)(x^(3)-x)

The domain of definition of the functiony y=f(x)=sqrt(-x) is

The domain of definition of the function f(X)=x^((1)/(log_(10)x)) , is

Domain of definition of the function f(x)=log_(2)(-log_((1)/(2))(1+x^(-4))-1) is

RESONANCE-RELATION, FUNCTION & ITF-SCQ_TYPE
  1. Let f: RrarrR be a function defined by f(x)=(2x^2-x+5)/(7x^2+2x+10) th...

    Text Solution

    |

  2. Let f :RrarrR be a function defined by f(x) = x^3 + x^2 + 3x + sin x. ...

    Text Solution

    |

  3. Domain of definition of the functioni f(x)=3/(4-x^(2))+log(10)(x^(3)-x...

    Text Solution

    |

  4. if f:[0.oo)->(0,oo), f(x) = x/(1-x) is

    Text Solution

    |

  5. Range of the function f(x)=((x-2)^2)/((x-1)(x-3)) is

    Text Solution

    |

  6. Range of the function f(x)=(x-2)/(x^2-4x+3) is

    Text Solution

    |

  7. Statement -1 If f(x) and both are one one and f(g(x)) exists, then f(g...

    Text Solution

    |

  8. Statement-1 If y=f(x) is increasing in [alpha,beta], then its range is...

    Text Solution

    |

  9. Let f (x) =[0, if x is rational and x if x is irrational and g (x)=[...

    Text Solution

    |

  10. Which of the following pair of functions are identical

    Text Solution

    |

  11. Let f(x) be a function whose domain is [-5,6]. Let g(x)=|2x+5|,then do...

    Text Solution

    |

  12. Let g(x)=1+x-[x]a n df(x)={-1, x<0 0, x=0f, x >0 . Then for all x ,f(g...

    Text Solution

    |

  13. The function f(x)=log((1+sinx)/(1-sinx)) is

    Text Solution

    |

  14. The function f(x)=[x]+1/2,x!inI is a/an (wher [.] denotes greatest int...

    Text Solution

    |

  15. If the graph of the function y = f(x) is symmetrical about the line x ...

    Text Solution

    |

  16. Fundamental period of f(x)=sec(sin x) is

    Text Solution

    |

  17. If f(x)=sin(sqrt([a])x) (where [.] denotes the greatest integer functi...

    Text Solution

    |

  18. Find the area below the curve y=[sqrt(2+2cos2x)] but above the x-axis ...

    Text Solution

    |

  19. The inverse of the function f(x)=(e^(x)-e^(-x))/(e^(x)+e^(-x))

    Text Solution

    |

  20. if f:[1,oo)->[2,oo) is given by f(x)=x+1/x then f^-1(x) equals to : a)...

    Text Solution

    |