10
QuizMultiple Choice

Combining Functions — Quiz

Question 10 • Algebra I

Study these equations: f of x is equal to 2 x minus 8 g of x is equal to negative 5 x What is h of x is equal to f x g x ?

Answer
A
h of x is equal to 10 x squared minus 40 x
B
h of x is equal to 10 x minus 40
C
h of x is equal to negative 10 x plus 40
D
h of x is equal to negative 10 x squared plus 40 x

Explanation

Since h(x) = f(x)g(x), multiply the two functions: (2x − 8)(−5x) = −10x² + 40x. Therefore, h(x) = −10x² + 40x, which is choice D.

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