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Online ProgramThe functions \(f(x)=-2x^{2} +12x+6\; {\rm and}\; g(x)=-2x^{2} +40x-174\) approximate the formula for the height and width of two arches as a company logo at the company headquarters. The logo must begin 6 feet off the ground on a pedestal that is 14 feet wide. The graphs of the two functions are shown below. What are the combined domains of these functions necessary to keep the logo 6 feet off the ground?