2
QuizMultiple Choice

Combining Functions — Quiz

Question 2 • Algebra I

f of x is equal to 8 x minus 2 g of x is equal to 9 x plus 2 What is h of x is equal to f of x minus g of x ?

Answer
A
h of x is equal to negative x plus 14
B
h of x is equal to negative x minus 4
C
h of x is equal to x plus 4
D
h of x is equal to 17 x plus 14

Explanation

Subtract g(x) from f(x): h(x) = (8x − 2) − (9x + 2). Distribute the subtraction across both terms in g(x), giving 8x − 2 − 9x − 2 = −x − 4. So the correct choice is h(x) = −x − 4.

AI-written and checked against the verified answer.

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