QuestionJuly 28, 2025

Determine the value or values of the variable for which the following expression is defined. (x-8)/(x) Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. The expression is defined for all real numbers except x=square (Use a comma to separate answers as needed .) B. The expression is defined for all real numbers.

Determine the value or values of the variable for which the following expression is defined. (x-8)/(x) Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. The expression is defined for all real numbers except x=square (Use a comma to separate answers as needed .) B. The expression is defined for all real numbers.
Determine the value or values of the variable for which the following expression is defined.
(x-8)/(x)
Select the correct choice below and, if necessary,fill in the answer box to complete your choice.
A. The expression is defined for all real numbers except x=square 
(Use a comma to separate answers as needed .)
B. The expression is defined for all real numbers.

Solution
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Answer

A. The expression is defined for all real numbers except x=0. Explanation 1. Identify undefined condition The expression \frac{x-8}{x} is undefined when the denominator x is zero. 2. Solve for undefined value Set x = 0 and solve. This gives the undefined value as x = 0.

Explanation

1. Identify undefined condition<br /> The expression $\frac{x-8}{x}$ is undefined when the denominator $x$ is zero.<br /><br />2. Solve for undefined value<br /> Set $x = 0$ and solve. This gives the undefined value as $x = 0$.
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