Decide whether each relation defines y as a function of x and give the domain.
\[
y=\frac{5}{x-7}
\]

Answer

Expert–verified

Hide Steps

Answer

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 \(\boxed{(-\infty,7) \cup (7,\infty)}\).

Steps

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 \(\boxed{(-\infty,7) \cup (7,\infty)}\).

Decide whether each relation defines y as a function of x and give the domain.\[y=\frac{5}{x-7}\]

Answer

Popular Problems

Decide whether each relation defines y as a function of x and give the domain.
\[
y=\frac{5}{x-7}
\]