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x3 - 4x for x for x < 2 A piecewise function g(x) is defined by g (X) log4(x -1) +2 for x > 2

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x3 - 4x for x

for x < 2 A piecewise function g(x) is defined by g (X) log4(x -1) +2 for x > 2 Part A: Graph the piecewise function g(x) and determine the domain. (5 points) Part B: Determine the x-intercepts of g(x). Show all necessary calculations. (5 points) Part C: Describe the interval(s) in which the graph of g(x) is positive. (5 points)

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