If f(x) = x3 + 7x2 – x and g(x) = x2 – 3, what is the degree of g(f(x))?

The polynomial f(x) has degree 3. Since g(u) = u² − 3, substituting f(x) gives g(f(x)) = [f(x)]² − 3, whose highest-degree term has degree 3 × 2 = 6. Therefore, the degree is 6, choice C.

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