The functions f and g are dened by f(x)=√16-x² and g(x)=√x²-1 respectively. Suppose the symbols D, and Dg denote the domains of f and g respectively. Determine and simplify the equation that defines f+g and give the set Df+g f-g and give the set Df-g f-g and give the set Dt.g f and give the set D₁.

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