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: 55

Answer

The domain of g(x) is {${ x|x\ne4,x\ne-4}$}.

Work Step by Step

$g(x)=\frac{x}{x^2-16}$ To find the domain of a rational function, we must set the denominator equal to 0 and solve for x. $x^2-16=0$ $x^2=16$ $x=\pm4$ This means that the domain is: {${ x|x\ne4,x\ne-4}$}
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