Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.7 - Combining Functions - 2.7 Exercises - Page 217: 65

Answer

With $g(x)=x^{2}$, and $f(x)=\displaystyle \frac{x}{x+4}$, $G(x)=f[g(x)]=f\circ g(x)$

Work Step by Step

If we were to calculate by hand, we would first calculate the square of the number$\qquad$...$ g(x)=x^{2}$, then divide that number with (number +4) $\qquad$ .... $f(x)=\displaystyle \frac{x}{x+4}$ In this way, $G(x)=f(g(x))=f\circ g(x)$
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