Question

For what values of the variable is the rational expression undefined? $$\frac{7}{x-3}$$

Short answer

The rational expression is undefined when x equals 3.

Step-by-step solution

Identify the Denominator

First, identify the denominator of the rational expression. In this case the denominator is \(x - 3\).

Set the Denominator Equal to Zero

Next, set the denominator equal to zero and solve for the variable x. The expression is: \(x - 3 = 0\).

Solve for Variable x

Now solve the equation for x: If \(x - 3 = 0\), then \(x = 3\) after adding 3 to both sides of the equation.