Home
Class 12
MATHS
If the function y=f(x) is defined by 2^(...

If the function `y=f(x)` is defined by `2^(x)+2^(y)=2` then the domain of `f(x)` is

A

`(0, 1]`

B

`[0, 1]`

C

`(-oo, 1)`

D

`(-oo, 0]`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS)|7 Videos
  • FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A(FUNCTIONS)|140 Videos
  • EXPONENTIAL SERIES & LOGARITHMIC SERIES (APPENDIX-1)

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|5 Videos
  • Hyperbola

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET 4|4 Videos

Similar Questions

Explore conceptually related problems

If the function f: R to R defined by f(x)=(3^(x)+3^(-x))/(2) , then S.T f(x+y)+f(x-y)=2f(x)f(y) .

If a function f statisfies the condition f(x+(1)/(x))=x^(2)+(1)/(x^(2)) (x ne 0) then domain of f(x) is

Assertion (A) : If f : R to R defined by f(x) =sin^(-1)(x/2) + log_(10)^(x) , then the domain of the function is (0,2]. Reason (R) : If D_(1) and D_2 are domains of f_(1) and f_2 , then the domain of f_(1) + f_(2) is D_(1) cap D_(2)

Let X and Y be subsets of R, the set of all real numbers. The function f: X to Y defined by f(x) = x^(2) for x in X for xs X is one-one but not onto if

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

A discontinuous function y=f(x) satisfying x^(2)+y^(2)=4" is given by f(x)="

DIPTI PUBLICATION ( AP EAMET)-FUNCTIONS-EXERCISE 1B(DOMAINS, RANGES OF REAL FUNCTIONS)
  1. The domain of f(x)=log(10)(sqrt(x-4)+sqrt(6-x)) is

    Text Solution

    |

  2. The domain of f(x)=.^((9-x))P(x-4) is

    Text Solution

    |

  3. If the function y=f(x) is defined by 2^(x)+2^(y)=2 then the domain of ...

    Text Solution

    |

  4. The function tranforms x into y. If y=sqrt(2x+1) and range of yis {y:0...

    Text Solution

    |

  5. If A is the set of all x such that (2x+1)/(2x^(3)+3x^(2)+x)gt0 then A ...

    Text Solution

    |

  6. The maximum possible domain and corresponding range for f(x)=(-1)^(x) ...

    Text Solution

    |

  7. Let A={x in R : x ne 0, -4le xle4} and f:A rarrR is defined by f(x)=(|...

    Text Solution

    |

  8. Find the domain and range of the real valued function f(x) = (2+x)/(2-...

    Text Solution

    |

  9. If f:[2, 3] rarr RR is defined by f(x)=x^(3)+3x-2, then the range f(x)...

    Text Solution

    |

  10. The range of f(x)=5cos x-12 sin x+7 is

    Text Solution

    |

  11. If f:R rarrS, defined by f(x)=sinx-sqrt3cos x+1, is onto, then the int...

    Text Solution

    |

  12. If A=cos^(3)theta, for all real value of theta, then

    Text Solution

    |

  13. The range of sin^(2)x+cos^(4)x is

    Text Solution

    |

  14. The function f:R rarrR defined by f(x)=cos^(2)x+sin^(4)x" for " x in R...

    Text Solution

    |

  15. The range of sec^(2)x+"4 cosec"^(2)x is

    Text Solution

    |

  16. The range of 5Cos^(-1)(3x) is

    Text Solution

    |

  17. The domain of f(x)=Tan^(-1)5x is

    Text Solution

    |

  18. The range of Sin^(-1)x+Cos^(-1)x is

    Text Solution

    |

  19. The range of Sin^(-1)x-Cos^(-1)x is

    Text Solution

    |

  20. Range of Sin^(-1)x+Cos^(-1)x+Tan^(-1)x is

    Text Solution

    |