Home
Class 12
MATHS
The domain of the definition of the func...

The domain of the definition of the function y(x) given by the equation `2^(x)+2^(y)=2` is :

A

` 0 lt x lt 1`

B

`0 le x_(n) le 1`

C

`-oo lt x lt 0`

D

`-oo lt x lt 1`

Text Solution

Verified by Experts

The correct Answer is:
D
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 of definition of the function : y=3e^(sqrt(x^(2)-1))log(x-1) is :

The interval contained in the domain of definition of non-zero solutions of the differential equation (x-3)^(2)y^(')+y =0 is

The domain of the function y=sin ^(-1)(-x^(2)) is

The domain of the function y=sqrt(x-2)+sqrt(1-x) is

The domain of the function cos ^(-1)(2 x-1) is

The domain of definition of the function : root(3)((2x+1)/(x^(2)-10x-11)) is given by :

The domain of definition of the function : f(x)=sqrt(log_(10)((5x-x^(2))/(4))) is :

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

HIMALAYA PUBLICATION-SETS,RELATIONS AND FUNCTIONS-QUESTION BANK
  1. The domain of the function f(x)=sqrt(log(0.5)x) is :

    Text Solution

    |

  2. The domain of the function f(x)=sqrt(log(0.5)x) is :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. Range of the function f(x)=(x^(2)+x+2)/(x^(2)+x+1),x inR is :

    Text Solution

    |

  6. Domain of sin ^(-1)((2 x+1)/(3)) is

    Text Solution

    |

  7. Range of the function f(x)=(x^(2)+x+2)/(x^(2)+x+1),x inR is :

    Text Solution

    |

  8. The natural domain of the function sqrt(sin^(-1)(2x)+(pi)/(6)),x inR i...

    Text Solution

    |

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

    Text Solution

    |

  10. The range of the function : f(x)=""^(7-x)P(x-3) is :

    Text Solution

    |

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

    Text Solution

    |

  12. Which of the following functions is an even function :

    Text Solution

    |

  13. If the real valued function f(x)=(a^(x)-1)/(x^(n)(a^(x)+1)) is even th...

    Text Solution

    |

  14. If f(x) is an odd periodic function with period 2 then f(4)=

    Text Solution

    |

  15. The function f: X rarr Y defined by f(x)=sin x is one-one but not onto...

    Text Solution

    |

  16. Let the function g:(-oo, oo) to (-(pi)/(2), (pi)/(2)) be given by g(u)...

    Text Solution

    |

  17. Let X and Y be subsets of R, the set of all real numbers. The function...

    Text Solution

    |

  18. Function f: R rarr R, defined by f(x)=x^(2)+x is

    Text Solution

    |

  19. Which one of the following is the bijective function on the set of rea...

    Text Solution

    |

  20. Which of the following functions is not periodic ?

    Text Solution

    |