Algebra 2 Common Core

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

Chapter 7 - Exponential and Logarithmic Functions - 7-6 Natural Logarithms - Practice and Problem-Solving Exercises - Page 483: 68


$(g\circ f)(x)=x^4-10x^2+22$

Work Step by Step

Recall: $(g \circ f)(x) = g\left(f(x)\right)$ Use the definition above to obtain: \begin{align*} (g\circ f)(x)&=(5-x^2)^2-3\\ &=25-10x^2+x^4-3\\ &=x^4-10x^2+22 \end{align*}
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