Home
Class 12
MATHS
Given f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/...

Given `f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/(sqrt(x-|x|))`, then :

A

`D_(f)nephiandD_(g)=phi`

B

`D_(f)=phiandD_(g)nephi`

C

`D_(f)=D_(g)`

D

`D_(f)=phiandD_(g)=phi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    MODERN PUBLICATION|Exercise LATEST QUESTION FOR AIEEE/JEE EXAMINATIONS|4 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • FUNCTIONS

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|14 Videos
  • FAMILY OF LINES

    MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|5 Videos
  • HEIGHTS AND DISTANCES

    MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|1 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=sqrt(1+x^(2)) , then :

Let f(x)=x(x-sqrt(x+1)) . Then :

If f(x)=log((1+x)/(1-x))andg(x)=(3x+x^(3))/(1+3x^(2)) , then f(g(x)) is equal to :

If f(x)=(1)/(sqrt(x+2 sqrt(2 x-4)))+(1)/(sqrt(x-2 sqrt(2 x-4))) , for x gt 2 , then f(11)=

If y="sin"^(-1)((sqrt(x)-1)/(sqrt(x)+1))+sec^(-1)((sqrt(x)+1)/(sqrt(x)-1)),xgt0 , then (dy)/(dx) is :

If int (sinx)/(sin^(2)x+4cos^(2)x)dx=-(1)/(sqrt(3))tan^(-1)((sqrt(3))/f(x))+c ,then f(x) equals :

lim_(x rarr 1) (sqrt(x-1) + sqrt(x-1))/(sqrt(x^(2)-1)) =

The domain of the function : f(x)=(sqrt(-log_(0.3)(x-1)))/(sqrt(-x^(2)+2x+8)) is :

If y = tan^(-1) ((sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))) then dy/dx =

MODERN PUBLICATION-FUNCTIONS-MULTIPLE CHOICE QUESTIONS (LEVEL -II)
  1. The domain of the function f(x)=sqrt(x-sqrt(1-x^(2))) is :

    Text Solution

    |

  2. The domain of the function : f(x)=log(10)log(10)(1+x^2) is :

    Text Solution

    |

  3. Given f(x):(1)/(sqrt(|x|-x))andg(x)=(1)/(sqrt(x-|x|)), then :

    Text Solution

    |

  4. The function f and g are given by : f(x)=(x), the fractional part of x...

    Text Solution

    |

  5. Let f(x)=sinsqrt(p)x, where p=[a]=greatest integer less than or equal...

    Text Solution

    |

  6. Let f:RtoR be defined by f(x)=x^(2)+1, then the value of f^(-1)(17)and...

    Text Solution

    |

  7. Let x be any real number, then [x+y]=[x]+[y] holds for :

    Text Solution

    |

  8. log(2)(log(3)(log(2)x))=1, then the value of x is :

    Text Solution

    |

  9. Let f:RtoR be a function defined by : f(x)=(x^(2)+2x+5)/(x^(2)+x+1) is...

    Text Solution

    |

  10. Let f(x)=(sqrt(sinx))/(1+root(3)(sinx)). If D is the domain of f, then...

    Text Solution

    |

  11. The domain of the definition of the function y(x) given by the equatio...

    Text Solution

    |

  12. Let X={1,2,3,4}, then one-one onto mappings f:XtoX such that f(1)=1,f(...

    Text Solution

    |

  13. The domain of definition of f(x)=(log(2)(x+3))/(x^(2)+3x+2) is :

    Text Solution

    |

  14. The domain of sin^(-1)[log(3)((x)/(3))] is :

    Text Solution

    |

  15. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  16. A function f from the set of natural numbers to integers defined by : ...

    Text Solution

    |

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

    Text Solution

    |

  18. If f:RtoR satisfies f(x+y)=f(x)+f(y) for all x,yinRandf(1)=7, then sum...

    Text Solution

    |

  19. The domain of the function : f(x)=(sin^(-1)(x-3))/(sqrt(9-x^2)) is :

    Text Solution

    |

  20. The graph of the function y=f(x) is symmetrical about the line x=2, th...

    Text Solution

    |