Home
Class 12
MATHS
If f(x)=sin(log)e{(sqrt(4-x^2))/(1-x)} ,...

If `f(x)=sin(log)_e{(sqrt(4-x^2))/(1-x)}` , then the domain of `f(x)` is _____ and its range is __________.

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE PUBLICATION|Exercise Archives (Numerical Value Type)|3 Videos
  • SCALER TRIPLE PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.3|11 Videos

Similar Questions

Explore conceptually related problems

If f(X)=sqrt(sec^-1((2-|x|)/4)) , then the domain of f(x) is

If f(x)=2x+cos^(-1) x+log (sqrt(1+x^(2))-x) , then f(x) is-

The domain of f(x)=log|logx| is

If f(x) = (1−x)^(1/2) and g(x)=ln(x) then the domain of (gof)(x) is

f(x)=1/sqrt(x^(12)-x^(9)+x^(4)-x+1) . Then domain of function f(x) is

f(x)=sin^(-1)(x-1)+cos^(-1)(x-2) , then domain of f(x) is

Find the domain of f(x) = sin^-1 [ log_9(x^2/4)]

If f(x) =ln ((x^2 + e)/(x^2 + 1)) , then range of f(x) is

Find the domain and the range of f(x)=sqrt(x^2-3x.)

The function f(x)= sin | log (x+ sqrt(x^(2) +1)) | is-

CENGAGE PUBLICATION-RELATIONS AND FUNCTIONS-All Questions
  1. Find the range of f(x)=[sin{x}], where {} represents the fractional pa...

    Text Solution

    |

  2. Let f,g: R-R be two functions defined as f(x)=|x|+x and g(x)=|x|-x , f...

    Text Solution

    |

  3. If f(x)=sin(log)e{(sqrt(4-x^2))/(1-x)} , then the domain of f(x) is a...

    Text Solution

    |

  4. Solve the following 1lt=|x-2|lt=3

    Text Solution

    |

  5. if f(x)={x^3+x^2, for 0<=x<=2 x + 2,for2<x<=4 ,t h e n find the even a...

    Text Solution

    |

  6. There are exactly two distinct linear functions, and , which map [...

    Text Solution

    |

  7. Solve the following 0<|x-3|lt=5

    Text Solution

    |

  8. If f is even function defined on the interval (-5, 5), then real value...

    Text Solution

    |

  9. Find the period of following function f(x)=e^(ln(sinx))+tan^3x-"cosec...

    Text Solution

    |

  10. Solve the following |(2x-1)/(x-1)|gt2

    Text Solution

    |

  11. Find the fundamental period of f(x)=cosxcos2xcos3xdot

    Text Solution

    |

  12. If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1, then

    Text Solution

    |

  13. Solve the following |(x-3)/(x+1)|lt=1

    Text Solution

    |

  14. The domain of the function f(x)=sin^(-1)((8(3)^(x-2))/(1-3^(2(x-1)))) ...

    Text Solution

    |

  15. Solve the system of equations in x,y and z satisfying the following eq...

    Text Solution

    |

  16. If f(x) = (p - x^n)^(1/n), p gt 0 and n is positive integer, then the ...

    Text Solution

    |

  17. Find the range of f(x)=(x-[x])/(1-[x]+x '),w h e r e[] represents the ...

    Text Solution

    |

  18. the function f(x)=(x^2+4x+30)/(x^2-8x+18) is not one-to-one.

    Text Solution

    |

  19. Solve 2[x]=x+{x},where [.] and {} denote the greatest integer function...

    Text Solution

    |

  20. If f1(x) and f2(x) are defined on domains D1 and D2,respectively, the...

    Text Solution

    |