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: 73


Yes, $f\circ g$ is a line with slope $m_1*m_2$.

Work Step by Step

We are given: $f(x)=m_1x+b_1$ $g(x)=m_2x+b_2$ We find $f\circ g$: $f\circ g=f(g(x))=f(m_2x+b_2)=m_1(m_2x+b_2)+b_1=m_1*m_2x+m_1*b_2+b_1$ This represents a line with slope $m_1*m_2$
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