Graph y 1 2 x, y 2 x, and y 3 2 y 2 in the same 4, 4, 1 by 0, 2, 1 viewing rectangle If y 1 represents f and y 2 represents g, use the graph of y 3 to find the domain of f g Then verify your observation algebraically

Question: Graph y 1 = 2 - x, y 2 = x, and y 3 = 2 - y 2 in the same [-4, 4, 1]

Graph y₁ = √2 - x, y₂ = √x, and y₃ = √2 - y₂ in the same [-4, 4, 1] by [0, 2, 1] viewing rectangle. If y₁ represents f and y₂ represents g, use the graph of y₃ to find the domain of f ° g. Then verify your observation algebraically.

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