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For each pair of functions f and g below, find fg (x)) and & (f(x)). Then, determine whether f and g are inverses of each
For each pair of functions f and g below, find fg (x)) and & (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 a in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = 2x - 3 ( b) f (x ) - 2x x+ 3 8 ( x ) = 2 8 (x) = 2x f(8 (x) ) - 1 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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