Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.1 - Functions - Exercises: 18

Answer

When $x=-3$ $$g(x)=3$$ When $x=-2$ $$g(x)=1$$ When $x=0$ $$g(x)=3$$ When $x=1$ $$g(x)=5$$ When $x=3$ $$g(x)=9$$

Work Step by Step

When $x=-3$ $$g(-3)=|2(-3)+3|$$ $$=|-6+3|$$ $$=|-3|$$ $$=3$$ When $x=-2$ $$g(-2)=|2(-2)+3|$$ $$=|-4+3|$$ $$=|-1|$$ $$=1$$ When $x=0$ $$g(0)=|2(0)+3|$$ $$=|3|$$ $$=3$$ When $x=1$ $$g(1)=|2(1)+3|$$ $$=|2+3|$$ $$=|5|$$ $$=5$$ When $x=3$ $$g(3)=|2(3)+3|$$ $$=|6+3|$$ $$=|9|$$ $$=9$$
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