Home
Class 12
MATHS
The domain of the function f(x)=sqrt(x...

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

Text Solution

Verified by Experts

The correct Answer is:
`(-infty,2) cup [3, infty)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 4|18 Videos
  • FUNCTIONS

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos
  • GRAPHICAL TRANSFORMATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|10 Videos

Similar Questions

Explore conceptually related problems

The domain of the function f(x) = 1/(sqrt(|x|-x)) is :

The domain of the function f(x)=(x^2+2x+1)/(x^2-x-6) is:

Knowledge Check

  • The domain of the function f(x) = sqrt(x - 1) + sqrt(6 - x) is

    A
    `[ 1, infty)`
    B
    `(- infty, 6)`
    C
    [1,6]
    D
    none of these
  • The domain of the function defined by f(x)=sin^(-1)sqrt(x-1) is

    A
    [1, 2]
    B
    [-1, 1]
    C
    [0, 1]
    D
    none of these
  • Similar Questions

    Explore conceptually related problems

    The range of the function f(x)=sqrt(x-1)+2sqrt(3-x) is

    The domain of definition of function f(x)=log(sqrt(x^(2)-5x-24)-x-2) , is

    The domain of the function f(x)=log_(10)(sqrt(x-4)+sqrt(6-x)) is

    The domain of the function : f(x)= (sin^(-1) (x-3))/(sqrt(9-x^2)) is :

    The greatest and the least value of the function, f(x)=sqrt(1-2x+x^(2))-sqrt(1+2x+x^(2)),x in(-oo,oo) are

    The domain oof the function f:R to R defined by f(x)=sqrt(x^(2)-3x+2) is .............. .