3
QuizMultiple Choice

Combinations and Separations of Functions

Question 3 • OKCPS FY24 Algebra II S1

The function h(x) = 5x2 – x – 6 is the result of combining two functions using multiplication.Which functions could have been combined?

Answer
A
f(x) = 5x – 6 and g(x) = x + 1
B
f(x) = 5x – 2 and g(x) = x + 3
C
f(x) = 5x3 + 14x2 – 9x – 18 and g(x) = x + 3
D
f(x) = 25x3 – 15x2 – 28x + 12 and g(x) = 5x – 2

Explanation

To check the multiplication, expand the functions in choice A: (5x − 6)(x + 1) = 5x² + 5x − 6x − 6 = 5x² − x − 6. This matches h(x), so the functions in choice A could have been combined.

AI-written and checked against the verified answer.

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