Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - 7.1 Graphing and Functions - Exercise Set 7.1 - Page 420: 96

Answer

3

Work Step by Step

Consider the information provided and study the graph carefully, Here, both the equations have the functions with x coordinate as the variable. It shows that the given numbers in the form of function have the value of the x coordinate. Locate the value of $y$for the function$g\left( 1 \right)$: $g\left( 1 \right)=-5$ Substitute the above value in the given function of the number. $f\left( g\left( 1 \right) \right)=f\left( -5 \right)$ Consider the given graph and locate the value of $y$for the function$f\left( -5 \right)$. $f\left( -5 \right)=3$ Here, the above value gives the value of the number. Thus, the value of the number is 3.
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