If f of x is equal to x cubed plus 7 x squared minus x and g of x is equal to x squared minus 3 , what is the degree of g of f of x ?

Since g(x) = x² − 3, composing g with f gives g(f(x)) = [f(x)]² − 3. The highest-degree term of f(x) = x³ + 7x² − x is x³, so squaring f produces a highest-degree term of (x³)² = x⁶. Therefore, g(f(x)) has degree 6, which is choice C.

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