Home
Class 11
MATHS
Find the domain of the following real va...

Find the domain of the following real valued functions:
(i) `f(x) = sqrt(x^(2)-25)`
(ii) `f(x) = sqrt(x^(2)-3x+2)`,
(iii) `f(x) = (sqrt(2+x) + sqrt(2-x))/x`

Text Solution

Verified by Experts

The correct Answer is:
(i) `(-infty, -5] cup [5,infty)`
(ii) `(-infty, 1) cup [2, infty)`
(iii) `[-2,2] -[0]`
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.1 (VERY SHORT ANSWER QUESTIONS)|21 Videos
  • FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE -1.2 (VERY SHORT ANSWER TYPE QUESTIONS)|2 Videos
  • ERRORS AND APPROXIMATIONS

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTION|15 Videos
  • HEIGHTS AND DISTANCES

    AAKASH SERIES|Exercise PRACTICE SHEET Exercise-I (Level-II) (Straight Objective Type Questions)|13 Videos

Similar Questions

Explore conceptually related problems

Find the domains fo the following real valued functions: (i) f(x) = sqrt(4x-x^(2)) (ii) f(x) =sqrt(2-x) + sqrt(1+x) (iii) f(x) = (sqrt(3+x) + sqrt(3-x))/x (iv) f(x) = sqrt(|x|-x) , (v) f(x) = sqrt(x-|x|) (vi) f(x) = sqrt(|x|-x)

Find the domain of the following real valued functions: (i) f(x) = 1/sqrt(|x|-3) (ii) f(x) = 1/sqrt(2-|x|) (iii) f(x) = 1/sqrt(|x|^(2)-|x|-2)

Find the domain of the following real valued functions: (i) f(x) =1/sqrt(x^(2)-a^(2)) (a gt 0) (ii) f(x) =1/sqrt(1-x^(2)) (iii) f(x) = sqrt(x^(2)-1) + 1/sqrt((x^(2)-3x+2)) (iv) f(x) = 1/sqrt(|x|+x) (v) f(x) = 1/(log(2-x))

Find the domain of the real valued function f(x) = sqrt(9-x^(2)) .

AAKASH SERIES-FUNCTIONS -PRACTICE EXERCISE
  1. Find the domain of the following real valued functions: (i) f(x) = s...

    Text Solution

    |

  2. If f(x)=(3x-7)/(5x-3) then (fof)(x)=

    Text Solution

    |

  3. If f:RR rarrRR and g:RR rarrRR are defined by f(x)=2x+3 and g(x)=x^(2)...

    Text Solution

    |

  4. f: R to R is defined by f(x) =x^(2)-5x. Then the inverse image set of ...

    Text Solution

    |

  5. If f: R to [0, infty) defined by f(x) = 10^(x) then f^(-1)(x)=

    Text Solution

    |

  6. The range of 10^(-x) is:

    Text Solution

    |

  7. The range of |x-2|+|x-5| is:

    Text Solution

    |

  8. If A, B are two sets such that n(A) = 15, n(B) = 20, then the number o...

    Text Solution

    |

  9. The number of surjections that can be defined from {1, 2, 3, 4, 5} ont...

    Text Solution

    |

  10. The number of constant functions that can be defined from {1, 2, ……….,...

    Text Solution

    |

  11. If f, g, h are functions from R to R such that f(x) = x^(2)+1, g(x) =s...

    Text Solution

    |

  12. If f(x)=sin(logx), then f(xy)+f(x//y)-2f(x)cos (logy)=

    Text Solution

    |

  13. If f(x)=(1)/(2)[3^(x)+3^(-x)], g(x)=(1)/(2)[3^(x)-3^(-x)] then f(x)g(y...

    Text Solution

    |

  14. If f(x) =cos[pi^(2)]x + cos[-pi^(2)]x where [x] is symmetrical about t...

    Text Solution

    |

  15. The graph of the function y = f(x) is symmetrical about the line x = 3...

    Text Solution

    |

  16. Let f(x) = ax^(3) + bx +c. Then when f is odd,

    Text Solution

    |

  17. a) The number of elements in the range of a constant function. (b) I...

    Text Solution

    |

  18. The value of parameter alpha, for which the function f(x) =1+alphax, a...

    Text Solution

    |

  19. Let f:[4, infty) to [1, infty) be a function defined by f(x) = 5^(x(x-...

    Text Solution

    |

  20. If f: R to R and g: R to R are defined by f(x) =3x-4, g(x)=2+3x and 2(...

    Text Solution

    |

  21. The domain of the definition of the function f(x) = sqrt(4^(x) + 8^(...

    Text Solution

    |