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Consider the function . g(x)=1/3x+2 (a) Find and simplify a rule for the inverse. Name the inverse g –1. Show your work. (b) Graph functions g and g –1 on the same coordinate plane. Explain how the graphs verify that the rule for g –1 is correct. Then explain how the graph verifies that g –1 is a function. (c) Use function composition to show that the rule for g –1 is correct.
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