Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.8 Function Operations and Composition - 2.8 Exercises - Page 289: 57

Answer

$\color{blue}{\bf{ -5 }}$

Work Step by Step

We are given the two functions $\bf{f}$ and $\bf{g}$ $\bf{f(x) = 2x - 3 }$ and $\bf{g(x) = -x + 3 }$ We are asked to find $\bf{ (f \text{ }\omicron\text{ } {g})(4) }$ $(f \text{ }\omicron\text{ } {g})(x) =2( -x + 3 ) - 3$ $(f \text{ }\omicron\text{ } {g})(4) =2(-4 + 3) - 3$ $-8+6 - 3$ $\color{blue}{\bf{ -5 }}$
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