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For eac of functions f and g below, find f(g(x)) and g(f(x)).Then, determine whether fand...

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For eac of functions f and g below, find f(g(x)) and g(f(x)).Then, determine whether fand 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+6g(x)=x-6f(g(x)) = g (f(x)) = fand g are inverses of each otherf and g are not inverses of each other(b) f(x) = ,-1/4xg(x) = 1/4xf(g(x)) = g(f(x)) =f and g are inverses of each otherf and g are not inverses of each other

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