Answer
$(g\circ f)(x)=x^4-10x^2+22$
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*}
Algebra 2 Common Core
by Hall, Prentice
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
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
