6
QuizMultiple Choice

Combining Functions — Quiz

Question 6 • Algebra I

f of x is equal to 8 x squared minus 2 x plus 3 g of x is equal to 12 x squared plus 4 x minus 3 What is h of x is equal to f of x minus g of x ?

Answer
A
h of x is equal to negative 4 x squared minus 6 x
B
h of x is equal to negative 4 x squared plus 2 x
C
h of x is equal to negative 4 x squared minus 6 x plus 6
D
h of x is equal to 20 x squared plus 2 x

Explanation

Subtract g(x) from f(x): h(x) = (8x² − 2x + 3) − (12x² + 4x − 3). Distribute the minus sign and combine like terms: (8 − 12)x² + (−2 − 4)x + (3 + 3) = −4x² − 6x + 6. Therefore, choice C is correct.

AI-written and checked against the verified answer.

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