Answer
See below.
Work Step by Step
The points of intersections are where $f(x)=g(x)\\-3x+2=x^2-2x-4\\x^2+x-6=0\\x^2+3x-2x-6=x(x+3)-2(x+3)=(x+3)(x-2)=0$
Thus $x=2$ (then $f(x)=g(x)=-4$) or $x=-3$ (then $f(x)=g(x)=11$)
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 5 - Section 5.2 - Properties of Rational Functions - 5.2 Assess Your Understanding - Page 353: 70
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