College Algebra 7th Edition

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: 47

Answer

$f\circ g, g\circ f, f\circ f, g\circ g$: $D=\{x|x \in \mathbb{R}\}$

Work Step by Step

$f(x)=2x+3$, $D_f=\{x|x \in \mathbb{R}\}$ $g(x)=4x-1$, $D_g=\{x|x \in \mathbb{R} \}$, $f(g(x))=2(4x-1)+3=8x+1$ $D_{f\circ g}=\{x|x \in \mathbb{R} \}$ $g(f(x))=4(2x+3)-1=8x+11$ $D_{g\circ f}=\{x|x \in \mathbb{R} \}$, $f(f(x))=2(2x+3)+3=4x+9$ $D_{f\circ f}=\{x|x \in \mathbb{R} \}$, $g(g(x))=4(4x-1)-1=16x-5$ $D_{g\circ g}=\{x|x \in \mathbb{R}\}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.