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The final answer is $ \boxed{\dfrac{4}{3}x^3 - 4x^2 + \dfrac{35}{3}x - 6} $.
Question: An epidemiologist models the spread of a disease with the polynomial $ g(x) $, where $ g(x^2 - 1) = 2x^4 - 5x^2 + 1 $. Find $ g(x^2 + 1) $.
Solution: Let $ y = x^2 - 1 $. Then $ x^2 = y + 1 $. Substitute into $ g(y) = 2x^4 - 5x^2 + 1 $:

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