Home
Class 11
MATHS
The domain of definition of the function...

The domain of definition of the function `f(x)=sqrt((x-2)/(x+2))+sqrt((1-x)/(1+x))` is `(-oo,-2]uu[2,oo)` b. `[-1,1]` c. `varphi` d. none of these

Text Solution

Verified by Experts

Given,` f(x) = sqrt[(x-2)/(x+2)]+sqrt[(1-x)/(1+x)]`
For function to be defined, `(x − 2)/( x + 2) ≥ 0, x ≠ - 2`
` x∈(-∞,-2)∪[2, ∞) …(1) `
And,
...
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    RD SHARMA|Exercise Solved Examples And Exercises|97 Videos
  • GEOMETRIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|255 Videos

Similar Questions

Explore conceptually related problems

The domain of definition of the function f(x)=sqrt(3-2^(x)-2^(1-x))+sqrt(sin^(-1)x) is

The domain of definition of the function f(x)=sqrt(3-2^(x)-2^(1-x))+sqrt(sin^(-1)x) is

The domain of definition of the function f(x)=sqrt(3-2^(x)-2^(1-x))+sqrt(sin^(-1)x) is

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

The domain of definition of the function f(x)=3sqrt((2x+1)/(x^(2)-10-11)) , is

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

The domain of definition of the function f(x) = sqrt(3-2^(x) -2^(1-x)) + sqrt(sqrt(sin^(-1)x,) is

Domain of definition of the function f(x)=log(sqrt(10.3^(x-2)-9^(x-1)-1)+sqrt(cos^(-1)(1-x))

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

RD SHARMA-FUNCTIONS-Solved Examples And Exercises
  1. Let A and B be any two sets such that n(B)=P, n(A)=q then the total nu...

    Text Solution

    |

  2. Find the values of x for which the functions f(x)=3x^2-1 and g(x)=3+x ...

    Text Solution

    |

  3. If f(x)="cos"((log)e x),t h e nf(x)f(y)-1/2[f(x/y)+f(x y)] has value ...

    Text Solution

    |

  4. Let f(x)=|x-1|dot Then (a)f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c)f(...

    Text Solution

    |

  5. If A={1,2,3},\ B={x , y} , then the number of functions that can be de...

    Text Solution

    |

  6. If x!=1\ a n d\ f(x)=(x+1)/(x-1) is a real function, then f(f(f(2))) ...

    Text Solution

    |

  7. If f: R->R : x!=0,\ -4lt=xlt=4 and f: A->A be defined by f(x)=(|x|)/x ...

    Text Solution

    |

  8. If f: RrarrR and g: RrarrR are defined by f(x)=2x+3a n dg(x)=x^2+7, th...

    Text Solution

    |

  9. If f: [-2, 2] -> R is defined by f(x)={-1,for -2<=x<=0 , then x...

    Text Solution

    |

  10. If f(x)=64x^3+1/x^3 and alpha,beta are the roots of 4x+1/x=3. Then,f(a...

    Text Solution

    |

  11. The domain of the function f(x)=sqrt(2-2x-x^2) is [-sqrt(3),\ sqrt(3)...

    Text Solution

    |

  12. The domain of the function f(x)=sqrt[((x+1)(x-3))/(x-2)] is [-1,2)uu[3...

    Text Solution

    |

  13. The domain of the function f(x)=sqrt(((x+1)(x-3))/(x-2)) is [-1,2)uu[3...

    Text Solution

    |

  14. The domain of definition of the function f(x)=sqrt(x-1)+sqrt(3-x) is [...

    Text Solution

    |

  15. The domain of definition of the function f(x)=sqrt((x-2)/(x+2))+sqrt((...

    Text Solution

    |

  16. The domain of definition of the function f(x)="log"|x| is R b. (-oo...

    Text Solution

    |

  17. The domain of definition of f(x)=sqrt[x-3-2sqrt(x-4)]-sqrt[x-3+2sqrt(x...

    Text Solution

    |

  18. The domain of the function f(x)=sqrt(5|x|-x^2-6) is (a) (-3,\ -2)uu(...

    Text Solution

    |

  19. The range of the function f(x)=(x+2)/(|x+2|),\ x!=-2

    Text Solution

    |

  20. The range of the function f(x)=x/(|x|) is R-{0} b. R-{-1,1} c. {-1,1}...

    Text Solution

    |