Chapter A.1, Problem 67AYU

To determine

Which of the values (a) through (d), if any, must be excluded from the domain of the variable in each expression.

a. $x=3$

b. $x=1$

c. $x=0$

d. $x=-1$

Answer to Problem 67AYU

c. $x=0$

Explanation of Solution

Given:

$\frac{x^2-1}{x}$

The domain of the variable $x$ in the expression $\frac{x^2-1}{x}$ is $\left\{x\text{|}x\ne 0\right\}$, since, if $x=0$, the denominator becomes $0$, which is not defined. Hence answer is $x=0$.