Problem
Decide whether each relation defines y as a function of x and give the domain. \[ y=\frac{5}{x-7} \]
Solution
Step 1 ：The function \(y = \frac{5}{x - 7}\) is defined for all \(x\) except for \(x = 7\), because the denominator cannot be 0. Therefore, the domain of the function is \(\boxed{(-\infty,7) \cup (7,\infty)}\).
