College Algebra 7th Edition

Published by Brooks Cole

Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises: 55

Answer

$(-\infty,\ 3)\cup (3,\ \infty)$

Work Step by Step

We are given: $f(x)= \frac{1}{x-3}$ The domain of a function consists of all the values that $x$ is allowed to have. In this case, $x$ can not equal $3$ because then we would have division by $0$. Thus the domain is: $(-\infty,\ 3)\cup (3,\ \infty)$

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