Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 4 - Quadratic Functions and Equations - 4-3 Modeling With Quadratic Functions - Practice and Problem-Solving Exercises - Page 214: 31

Answer

$D$

Work Step by Step

In this exercise, we take the inner function $g(x)$ and plug it in for $x$ in the outer function $f(x)$: $f(x) = - (7 + 5x) - 3$ Use distributive property: $f(x) = -7 - 5x - 3$ Combine like terms: $f(x) = -5x - 10$ We see that the correct answer is option $D$.
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