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# 6.) Unity Games is a company that sells video games. Its revenue last year was modelled by the function g(x) = − 4x x(4x ) and its revenue this year is modelled by the function 4 + 6 − 1 − 4 f(x) =

6.) Unity Games is a company that sells video games. Its revenue last year was modelled by the function g(x) = − 4x x(4x ) and its revenue this year is modelled by the function 4 + 6 − 1 − 4 f(x) = − 3x (x ) x where x is the number of video games sold in thousands and 2 2 − 8 − 6 − 5 revenue is in millions of dollars. Determine the range of values for the number of video games sold that makes the revenue this year greater than the revenue last year. You must use a full algebraic solution.

7.) Marianne and Faith are upgrading the storage shed in their backyard. The existing shed has the shape of a rectangular prism with dimensions 1 m by 2 m by 4 m. By what amount should they increase each dimension so that the new shed is 9 times the volume of the original shed? Provide a full algebraic solution.