Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 12 - Review - Page 904: 8

Answer

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

Work Step by Step

Functions involved: $f(x)=x^2-2$ Substitute $f(x)$ into $f(x)$: $(f \circ f)(x) = (x^2-2)^2-2$ Expand: $(f \circ f)(x) = x^4-4x^2+4-2$ Simplify: $(f \circ f)(x) = x^4-4x^2+2$
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