To find the domain of the function \( y = \frac{5}{7 - x} \), we need to determine for which values of \( x \) the function is defined.
The function is undefined when the denominator is zero. So, we set the denominator equal to zero and solve for \( x \):
\[ 7 - x = 0 \ x = 7 \]
Thus, the function is undefined at \( x = 7 \).
The domain of the function is all real numbers except \( x = 7 \). Therefore, the correct answer is:
A. All real numbers except 7.
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