Home
Class 11
MATHS
Find the domain of the following functio...

Find the domain of the following function :
`f(x) = sqrt(sin^(-1)(log_2x)) + sqrt(cos (sinx)) + Sin^(1-)((1 + x^2)/(2x))`

Promotional Banner

Topper's Solved these Questions

  • DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|81 Videos

  • FUNCTIONS

    PATHFINDER|Exercise QUESTION BANK|66 Videos

Similar Questions

Explore conceptually related problems

Find the domain of each of the following functions: f(x)=sqrt(sinx-1)

Find Domain of the following function : f(x)=sin^(-1)(log_2(x^2/2))

Find the domain of the following functions: f(x)=sqrt(x-sqrt(1-x^2))

Find the domain of each of the following functions: f(x)=sqrt(x+2)

Find the domain of the following functions: f(x)=sqrt(2-x)-1/(sqrt(9-x^2))

Find the domain of the following functions: f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x))

Find the domain of each of the following functions: f(x)=1/sqrt(2x^2-7x-4)

Find Domain of the following function : f(x)=sqrt(log_0.4((x-1)/(x+5))

Find the domain of the following following functions: f(x)=cos^(-1)(1+3x+2x^(2))

Find the domain of the function f(x)=sqrt(2x+1)+sqrt(5-x) .

PATHFINDER-FUNCTION-QUESTION BANK
  1. Let f be a function from the set of positive integers to the set of re...

    Text Solution

    |

  2. A function f : R rarr R is defined as f(x) = (alpha x^2 + 6x - 8 )/(al...

    Text Solution

    |

  3. Find the domain of the following function : f(x) = sqrt(sin^(-1)(log...

    Text Solution

    |

  4. Range of f(x) = (sin^2x + sin x -1)/(sin^2x - sin x + 2)

    Text Solution

    |

  5. If p and q are positive integers, f is a function defined for positive...

    Text Solution

    |

  6. Check whether the function defined f(x + lambda) = 1 + sqrt(2f(x) - f^...

    Text Solution

    |

  7. Let f(x, y) be a periodic function satisfying the condition f(x, y) = ...

    Text Solution

    |

  8. If f(x) = 2x + |x|, g(x) = 1/3(2x - |x|) and h(x) = f(g(x)), then find...

    Text Solution

    |

  9. Find the domain and range of h(x) = g(f(x), where f(x) = {([x], -2l...

    Text Solution

    |

  10. Determine all functions f : R rarr R satisfying f(x-f(y)) = f(f(y)) + ...

    Text Solution

    |

  11. Let R rarr f(x) = x^3 + ax^2 + bx + c sin x, a, b, c in R Find the con...

    Text Solution

    |

  12. If f(x) satisfies the relation f(x + y) = f(x) + f(y) AA x,y in R and...

    Text Solution

    |

  13. In the function f(x) is defined for x in[0,1] then the function f(2x+3...

    Text Solution

    |

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

    Text Solution

    |

  15. The domain of the real valued function f(x)=3e^sqrt(x^2-1)log(x-1) is

    Text Solution

    |

  16. Domain of the function f(x)=sin^(-1)((2-|x|)/4)+cos^(-1)((2-|x|)/4)+ta...

    Text Solution

    |

  17. The domain of the function f(x)=sin^(-1) frac1|x^2-1|+1/sqrt(sin^2x+si...

    Text Solution

    |

  18. The range of function f(x)=sqrt("^(x^2+4x)C(2x^2+3)

    Text Solution

    |

  19. Let n be a natural number. Then the range of the function f(n)=^(8-n)P...

    Text Solution

    |

  20. If x^2+y^2+z^2=1, then xy + yz + zx lies in

    Text Solution

    |