Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 2 - Review - Exercises - Page 232: 20

Answer

(-∞, -1/2) U (-1/2, 3) U (3, ∞)

Work Step by Step

$g(x) = \frac{2x^2 + 5x + 3}{2x^2 - 5x -3}$ Domain is the set of numbers such that g(x) is defined, so find the numbers in which the denominator is equal to zero. $2x^2 - 5x - 3 = 0$ $(2x+1) (x-3) = 0$ $x= -1/2, 3$ Thus the Domain is (-∞, -1/2) U (-1/2, 3) U (3, ∞)
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