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QuizMultiple Choice

Composition of Polynomial Functions

Question 1 • VA-Mathematical Analysis

If f(x) = 2x5 + 3 and g(x) = x2 – 1, what is the degree of [f o g](x)?

Answer
A
2
B
5
C
7
D
10

Explanation

The composition is f(g(x)) = 2(x² − 1)⁵ + 3. Since (x² − 1)⁵ has degree 2 × 5 = 10, and multiplying by 2 or adding 3 does not change the degree, the degree is 10. The correct choice is D, 10.

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