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The domain of the function y=sqrt(sinx+c...

The domain of the function `y=sqrt(sinx+cosx)+sqrt(7x-x^(2)-6)` is `[p,(qpi)/4]uu[(rpi)/4,S]` then value of `p+q+r+s` is

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Knowledge Check

  • The domain of the function f(x) = sqrt(sinx) + sqrt(16-x^(2)) is

    A
    `[-4,0) cup (0,pi]`
    B
    `(-4,4)`
    C
    `[-4,pi] cup [0,pi]`
    D
    `[-4,pi]`
  • The domain of the function f(x)= sqrt(4x-3)+sqrt(2x-6) is :

    A
    [0,`infty`)
    B
    `[3/4,infty)`
    C
    `[4/3,infty)`
    D
    [`3,Infty)`
  • The domain of the function f(x)=log(sqrt(x-4)+sqrt(6-x)) is

    A
    `[4,oo)`
    B
    `(-oo,6]`
    C
    `[4,6]`
    D
    none of these
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