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math

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What is the largest possible domain for the function
f(x) = sqrt x + sqrt(4 - x^2) ?

  • math -

    sqroot(x)>=0

    and

    4-x^2>=0

    4>=x^2

    x>=-2 x<2

    Negative numbers does not have a position on the number line.So:

    Domain of

    f(x)= sqrt(x) + sqrt(4 - x^2)

    [-0,2]

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