Calculus

Find the domain of the following function h(x,y) = sqrt(x-9y+5)?

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  1. Since sqrt(x) requires x≥0, therefore the domain of the function is such that:
    x-9y+5≥0
    equivalently:
    9y≤x+5
    or
    dom h(x,y) = {x,y ∈ℝ | 9y≤x+5}

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