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For each pair of functions f and g below, find f (g (x) ) and g (f (x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) 1 (a) f(x) = x+6 (b) fx =. 0 2x 1 g x = x - 6 X g x = x 70 2x f (8 (x)) = 1 f(8 (x)) = 0 g (f (x ) ) = 0 8 (f (x) ) = 0 Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other