College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 298: 73

Answer

$f(g(x)) = 5-x$ Since the function $f(g(x))$ is a polynomial function, its $Domain$ is $all$ $Real$ $numbers$

Work Step by Step

$$f(x) = x^2 +4$$ $$g(x) = \sqrt{1-x}$$ $f(g(x)) = (\sqrt{1-x})^2 +4$ $f(g(x)) = (1-x) +4$ $f(g(x)) = 5-x$ Since the function $f(g(x))$ is a polynomial function, its $Domain$ is $all$ $Real$ $numbers$
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