College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 58

Answer

The domain of G(x) is {${ x|x\ne0,x\ne-2,x\ne2}$}

Work Step by Step

$G(x)=\frac{x+4}{x^3-4x}$ To find the domain of a rational function, we must set the denominator equal to 0 and solve for x. $x^3-4x=0$ $x(x^2-4)=0$ Now, set each factor equal to 0. $x=0$ or $x=\pm2$ This means that the domain is: {${ x|x\ne0,x\ne-2,x\ne2}$}
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