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 216: 4

Answer

$f(x)=x+1$ $g(x)=2x$ $f\circ g(x)=2x+1$ $g\circ f(x)=2(x+1)=2x+2$

Work Step by Step

$f(x)=x+1$ $g(x)=2x$ $f\circ g(x)=f[g(x)]=g(x)+1=2x+1$ $g\circ f(x)=g[f(x)]=2\cdot f(x)=2(x+1)=2x+2$
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