9
QuizMultiple Choice

Composition of Polynomial Functions — Quiz

Question 9 • Algebra 2 with Probability

If f of x is equal to negative x cubed , g of x is equal to 3 x squared minus 1 , and h of x is equal to 2 x plus 5 , what is the degree of open bracket f circ g circ h close bracket times x ?

Answer
A
3
B
5
C
2
D
6

Explanation

The degree of a composition is the product of the degrees of its component functions. Here, h has degree 1, g has degree 2, and f has degree 3, so the degree of (f ∘ g ∘ h)(x) is 1 × 2 × 3 = 6. The correct choice is D, 6.

AI-written and checked against the verified answer.

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