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college algebra

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f(x)=x-5 and g(x)=√3x, what us the domain of g°f ?

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  • college algebra -

    g◦f = √3f = √(3(x-5))
    Since √ is defined only for non-negative values,

    3(x-5) >= 0
    x >= 5
    so the domain is [5,∞)

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