Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - Review Exercises: 58

Answer

$f(x)$ is continuous over the interval $(-\infty, -2)$ U $(-2, \infty).$

Work Step by Step

$f(x)=\dfrac{4x^2+7x-2}{x+2}=\dfrac{(4x-1)(x+2)}{(x+2)}=4x-1;x\ne-2.$ The only restriction on $f(x)$'s domain is that $x\ne-2,$ hence the function is continuous over the interval $(-\infty, -2)$ U $(-2, \infty).$
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