Algebra 2 Common Core

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

Chapter 6 - Radical Functions and Rational Exponents - 6-7 Inverse Relations and Functions - Practice and Problem-Solving Exercises - Page 412: 76

Answer

$F$

Work Step by Step

For these types of problems, we are asked to evaluate composite functions. We will use the inner function and substitute it where we see $x$ in the outer function. To evaluate $f(g(x))$, we begin by plugging in the function $g(x)$ where we see $x$ in the outer function, $f(x)$: $f(g(x)) = (x^2 - 3x - 4) + 1$ Add like terms: $f(g(x)) = x^2 - 3x - 3$ This answer corresponds to option $F$.
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