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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
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.) x + 3 ( a) fx = ( b) f (x ) = 3x 2 g (x) = 2x - 3 g x = 3x X f(8(x)) = 0 f (8 (x)) = 0 8 (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
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