Answer
13
Work Step by Step
We are given that $f(x)=x^{2}+4$, $g(x)=2x+3$, and $h(x)=x-5$.
We are asked to find $(f∘g)(0)$. We know that $(f∘g)(x)=f(g(x))$.
Therefore, $(f∘g)(0)=f(g(0))=f(2(0)+3)=f(0+3)=f(3)=3^{2}+4=9+4=13$.
Intermediate Algebra (12th Edition)
by Lial, Margaret L.; Hornsby, John; McGinnis, Terry
Published by
Pearson
ISBN 10:
0321969359
ISBN 13:
978-0-32196-935-4
Chapter 4 - Section 4.3 - Polynomial Functions, Graphs, and Composition - 4.3 Exercises - Page 296: 53
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