Math

Find the domain of the composite function, hog
H(x)=√x , g(x)=-x+3

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  1. hog = h(g(x)) = h(-x+3) = √(-x+3)

    The term in the square root cannot take negative values. It must be greater than (or equal to) zero.

    -x + 3 >= 0
    -x >= -3
    x =< 3

    Hence, the domain of x is given by (-∞, 3]

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