Answer
False
Work Step by Step
If $h(x)=x^2+1$, then the decomposition can be:
$h=(f\circ g)(x)$, where $f(x)=x+1$ and $g(x)=x^2$
But also: $f(x)=\sqrt x+1$ and $g(x)=x^4$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - 12.1 Composite Functions and Inverse Functions - 12.1 Exercise Set - Page 787: 4
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