Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 1 - Functions - 1.1 Review of Functions - 1.1 Exercises: 47

Answer

$(g ∘ g)(x) = (x^2 - 2)(x^2-6)$ the domain is $(-\infty,\infty)$

Work Step by Step

$g(x) = x^2-4$ $(g ∘ g)(x) = g(g(x)) = g(x^2-4) = (x^2-4)^2 -4= x^4-8x^2+16 -4=x^4-8x^2+12=(x^2 - 2)(x^2-6)$ Therefore (the function is polymoial) the domain is $(-\infty,\infty)$
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