The one-to-one functions g and h are defined as follows. g= {(-6, -9), (-4, - 3), (1, 4), (4, 1)} h (x) = 2x-3 Find the following. = 4 (1), 6 ? = 2 (x), 4 (a.". »)(-2) = D 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) (b) f(x) = x + 3 2x 1 9 (x) g(x) = x + 3 2x f(9 (x)) = 0 f(9 (x)) = 0 g (f (x)) = 0 g (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

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