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Provide steps to the correct solution: 1. Identify the parent function and the sequence of transformations represented by: g(x) = /x 3 + 5. Student's

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1. Identify the parent function and the sequence of transformations represented by: g(x) = \\/x 3 + 5. Student's Solution: Use the parent function f (x) = W. The graph of g(x) is a reflection in the yaxis, followed by a shift left 3, followed by a shift up 5. \fStudent's Solution: Eu y = x3 1 Write the original equation g x = y3 1 lnterohangex and y FJBI y = 7m Solve for y FJti: f '1 (x) = m Replace y with x) p_5: The domain of f_1(x) is the range of f(x) . The domain of f(x) is given as x 2 1, and therefore, the range of f(x) is y 2 2. Thus, the domain of f'1(x) is x Z 2. The final answer is f_1(x) = {736 + 1, x 2 2

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