Answer
$(\sqrt{x}-5)^{4}+1$
Work Step by Step
We are given: $f(x)=x^4+1,\ g(x)=x-5,\ h(x)=\sqrt{x}$
We evaluate:
$(f\circ g\circ h)(x)=f(g(h(x)))=f(g(\sqrt{x}))=f(\sqrt{x}-5)=(\sqrt{x}-5)^{4}+1$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises - Page 253: 61
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