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

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For each pair of functions and g below, find f(g(x)) and g (f(x)). Then, determine whether 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.) 3 (a) f(x) = -, x+ g(x) = X 3 X 0 1 X = 0 f(g(x)) =]] 8((x)) = 0 Of and g are inverses of each other Of and g are not inverses of each other (b) (x)= 4x + 3 g(x)=4x-3 1(8(x)) = 8 (f(x)) = 0 Of and g are inverses of each other Of and g are not inverses of each other X For each pair of functions and g below, find f(g(x)) and g (f(x)). Then, determine whether 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.) 3 (a) f(x) = -, x+ g(x) = X 3 X 0 1 X = 0 f(g(x)) =]] 8((x)) = 0 Of and g are inverses of each other Of and g are not inverses of each other (b) (x)= 4x + 3 g(x)=4x-3 1(8(x)) = 8 (f(x)) = 0 Of and g are inverses of each other Of and g are not inverses of each other X