College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.5 - Page 406: 7


domain: $\mathbb{R}$ interval notation: $(-\infty,\infty)$

Work Step by Step

See example 1. Division by 0 is undefined, so $f(x)$ will be defined for all real numbers except for the number(s) x that yield zero in the denominator: $x^{2}+49=0$ $x^{2}=-49$ ... no real number has a negative square... ... so, the denominator is never zero, $f$ is defined for all real numbers domain: $\mathbb{R}$ interval notation: $(-\infty,\infty)$
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