Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.7 - Relations and Functions - Problem Set 11.7: 22

Answer

The domain of the function is the set of all real numbers except $7$.

Work Step by Step

When the question asks for the domain of the function, it is asking for what values of x can be legally substituted into the function. (For instance, in the function $\frac{2}{x}$, x $\ne$ 0, for this would make the denominator of the fraction equal to 0.) In the given function, $x$ can be substituted by any real number except $7$. When $x$ is replaced by $7$, the denominator becomes 0, making the function undefined. Thus, the domain of the function is the set of all real numbers except $7$.
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