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: 53

Answer

The domain is all real numbers.

Work Step by Step

$f(x)=\frac{x}{x^2+1}$ To find the domain of a rational function, we must set the denominator equal to 0 and solve for x. $x^2+1=0$ $x^2=-1$ Because there are no real solutions whose square is negative, the domain is all real numbers.
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