Home
Class 12
MATHS
Find the domain of the following functio...

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

A

`( - infty, 2] - {-1}`

B

`(- infty, 2)`

C

[ - 1, 2]

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    DISHA PUBLICATION|Exercise EXERCISE - 1|60 Videos
  • PROBABILITY-1

    DISHA PUBLICATION|Exercise EXERCISE-1 : CONCEPT BUILDER|180 Videos
  • RELATIONS AND FUNCTIONS-2

    DISHA PUBLICATION|Exercise EXERCISE-2: CONCEPT APPLICATOR|30 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Find the domain of the following functions :(i)f(x)=sqrt(2x1)+sqrt(3-2x)

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

Find the domain and range of the following function f(x)=sqrt(x-1)

Find the domain of the following function f(x)(1)/(sqrt(x+|x|))

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

Find the domain of the following functions: f(x)=(1)/(sqrt(x-5))+(x-1)/(x^(2)-4)

Find the domain of the following functions: f(x)=sqrt(4^(x)+8^(2/3(x-2))-13-2^(2(x-1)))

DISHA PUBLICATION-RELATIONS AND FUNCTIONS -EXERCISE - 2
  1. Let f be a function on R given by f(x) = x^(2) and let E = {x in R: - ...

    Text Solution

    |

  2. Let f(x)=x/(1+x^2) and g(x)=(e^-x)/(1+[x]), where [x] is the greatest ...

    Text Solution

    |

  3. The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(a, b)...

    Text Solution

    |

  4. Let f (x) = [x], where [x] denotes the greatest integer less than or e...

    Text Solution

    |

  5. Define relations R(1) and R(2) on set A = [2,3,5,7,10] as xR(1)y is 2x...

    Text Solution

    |

  6. A relation R is defined in the set Z of integers as follows (x, y ) in...

    Text Solution

    |

  7. The domain of the function f(x)=sqrt(x^(2)-5x+6)+sqrt(2x+8-x^(2)) , ...

    Text Solution

    |

  8. The real valued function f(x)=(a^x-1)/(x^n(a^x+1)) is even, then the v...

    Text Solution

    |

  9. the value of the function f(x)=(x^2-3x+2)/(x^2+x-6) lies in the inter...

    Text Solution

    |

  10. The domain of f (x) = log (|x - 2 | - 2 | - 1) is

    Text Solution

    |

  11. If f:R to R satisfies f(x+y)=f(x)+f(y), for all x, y in R and f(1)=7,...

    Text Solution

    |

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

    Text Solution

    |

  13. Which of the following functions is even,

    Text Solution

    |

  14. If f(1) = 1 and f(n + 1) = 2 f(n) + 1, if n ge 1, then f(n) is.

    Text Solution

    |

  15. The range of the function f(x)= (x^2-x+1)/(x^2+x+1) where x in R, is

    Text Solution

    |

  16. Verify that x sgnx=|x| |x|sgnx=x x(sgnx)(sgnx)=x

    Text Solution

    |

  17. The domain of the function f (x) = 3sqrt((x)/(1 - |x|))

    Text Solution

    |

  18. The domain of the function f(x) = sqrt(x^(14) - x^(11) + x^(6) - x^(...

    Text Solution

    |

  19. If f is any function, then (1)/(2) [ f (x) + f(-x) ] is always

    Text Solution

    |

  20. The function f satisfies the functional equation 3f(x)+2f((x+59)/(x1))...

    Text Solution

    |