Identify Applications of 16 + 8/(2x): Mixed Expression Analysis

To determine the domain of the expression $16 + \frac{8}{2x}$, we need to ensure the expression is defined by avoiding division by zero.

The crucial part of this fraction is the denominator, $2x$. A fraction is undefined when its denominator equals zero. Therefore, we set the denominator equal to zero and solve for $x$:

• Equation: $2x = 0$
• Solution: $x = 0$

This means the expression is undefined when $x = 0$. Hence, the domain of this expression is all real numbers except zero.

So, the domain of the expression is all $x$ such that $x \neq 0$.

The correct multiple-choice answer is:

$x \neq 0$