Determine the Domain: Analyzing the Function 23/√x

To determine the domain of the function $\frac{23}{\sqrt{x}}$, we must ensure the function is defined for all values in its domain. The expression involves a square root and a division.

• First, consider the square root, $\sqrt{x}$. This is only defined for $x \geq 0$. Therefore, initially, $x$ must be non-negative.

• Second, because the square root is in the denominator of a fraction, $\sqrt{x}$ must not equal zero to avoid division by zero. Thus, $x$ must be strictly greater than 0.

Combining these conditions, we find that the domain of the function is $x > 0$.

Therefore, the domain of the function is $x > 0$, which corresponds to choice 3 from the provided options.