Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.1 - Functions - Exercises - Page 157: 51


All real numbers.

Work Step by Step

The domain of $f(x)=3x$ is the set of all real numbers $x$ for which $3x$ is defined as a real number. We know if we multiply two real numbers, we get another real number, so $3x$ is a real number for all real numbers $x$. Therefore, the domain of $f(x)=3x$ is all real numbers. In set notation, the domain is $\{x: x\in R\}.$ In interval notation, the domain is $(-\infty , \infty).$
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