Answer
$4$.
Work Step by Step
If a graph is symmetric to the origin then if $(x,y)$ is on the graph $(-x,-y)$ will be also on the graph. Hence if $(-4,0)$ is on the graph $(4,0)$ will be also on the graph. Hence the other x-intercept is $4$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 1 - Graphs - 1.2 Graphs of Equations in Two Variables; Intercepts; Symmetry - 1.2 Assess Your Understanding - Page 18: 81
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