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8 A student is determining if two functions are inverses of one another The student completes the following computation and concludes that yes the functions

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8 A student is determining if two functions are inverses of one another The student completes the following computation and concludes that yes the functions are inverses Is the student correct f x 3x 5 g x 5 f g x 3 35 5 x g f x 3x 5 5 3 x A The student is correct because f x is found by adding 5 and multiplying by 3 B The student is correct because the function composition f g x x and the function composition g f x x C The student is incorrect because the functions are not opposites of each other D The student is incorrect because the function composition f g x x and the function composition g f x x proves nothing

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