Home
Class 12
MATHS
Find the domain of defintion of the func...

Find the domain of defintion of the function `f(x) = sqrt(x^(2) - 3x + 2)`.

Text Solution

Verified by Experts

Given `f(x) = sqrt(x^(2) - 3x + 2)`
`rArr (x-1)(x-2) ge 0`
Sign scheme for `x^(2) - 3x + 2`

`:. -oo le x lt 1` or `2 le x le oo`
Domain `= (-oo, 1] cup [2, oo)`
Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - A) Objective Type Questions (one option is correct)|102 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - B) Objective Type Questions (one option is correct)|87 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • PROBABILITY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION-J (aakash challengers questions)|13 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos

Similar Questions

Explore conceptually related problems

Find the domain of definition of the function f(x) = sqrt(x^(2) - 25)

Find the domain of definition of the function f(x) = (x)/(sqrt(x^(2) - 3x + 2))

Find the domain of definition of the function f(x) = sqrt(64 - x^(2)) .

Find the domain of definition of the function f(x)=(x)/(sqrt(x-1))

Find the domain and range of the function f(x) = sqrt(16 - x^(2))

Find the domain of the function f(x)=sqrt(x^(2)-3x+2)

Find the domain of definitions of the following function: f(x)=sqrt(3-2^(x)-2^(1-x))

The domain of the function f(x)=sqrt(x^(2)) is :

The domain of the function f(x)=sqrt(x^(2)) is :

Find the domains of definition of the following functions.f(x)=(sqrt(x^(2)+x-6))/(x^(2)-4)

AAKASH INSTITUTE-RELATIONS AND FUNCTIONS -Try Yourself
  1. Let A = {1, 2, 3, 4}. Examine which of the following relations is a f...

    Text Solution

    |

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

    Text Solution

    |

  3. Find the domain of defintion of the function f(x) = sqrt(x^(2) - 3x + ...

    Text Solution

    |

  4. Find the domain of f(x) = (x^(2)-9)/(x-3)

    Text Solution

    |

  5. Find the domain of (1)/(1-x^(2))

    Text Solution

    |

  6. Find the domain f(x) = sqrt(3x - 5).

    Text Solution

    |

  7. Find the domain of f(x) = sqrt(x-11).

    Text Solution

    |

  8. Find the domain of f(x) = (8-x)/(x-8).

    Text Solution

    |

  9. Find the domain of f(x) = (x^(2)-36)/(x+6)

    Text Solution

    |

  10. Find the domain of definition of the function f(x) = sqrt(a^(2) - x^(2...

    Text Solution

    |

  11. Find the domain of definition of the function f(x) = sqrt(64 - x^(2)).

    Text Solution

    |

  12. Find the domain of the function f(x) = (x^(2)+5x+1)/(x^(2)-6x + 8).

    Text Solution

    |

  13. Find the domain of the function f(x) = (x-1)/(x^(2) + 5x +6).

    Text Solution

    |

  14. Find the range: (i) f(x) = 1+x (ii) f(x) = (1)/(x) , x != 0

    Text Solution

    |

  15. Find the range : (i) f(x) = 2x^(2) (ii) f(x) = -x^(2)

    Text Solution

    |

  16. Find the domain of the function y = (x)/(1-x^(2)).

    Text Solution

    |

  17. Find the range of the function y = (x^(2) - 1)/(x-1), x != 1.

    Text Solution

    |

  18. Define the function f : R rarr R by y = f(x) = x^(4), x in R. What is ...

    Text Solution

    |

  19. Define the function f : R rarr R by y = f(x) = x^(5), x in R. What is...

    Text Solution

    |

  20. Given the function f(x) = x^(2) + 2x + 5. Find f(-1), f(2), f(5).

    Text Solution

    |