Answer
See below.
Work Step by Step
a) $(f-g)(x)=f(x)-g(x)=2x^2+1-(3x-2)=2x^2+1-3x+2=2x^2-3x+3$
b) $(f\cdot g)(x)=f(x)g(x)=(2x^2+1)(3x-2)=6x^3-4x^2+3x-2$
c) $f(x+h)-f(x)=2(x+h)^2+1-(2x^2+1)=2(x^2+2xh+h^2)+1-2x^2-1=2x^2+4xh+2h^2-2x^2=4xh+2h^2$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 3 - Test - Page 270: 9
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