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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.

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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.) (a) f (x) = x - 4 (b) f() = 00 g ( x) =x+4 bo fe (x) ) = 0 fle (x) ) = 0 = (f (x)) = = (f ( x) ) = [ Ofand 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

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