Step 1 :Find the value(s) for which the rational expression is undefined. The expression is \(\frac{8}{x+9}\).
Step 2 :To find the value for which the expression is undefined, we need to solve the equation \(x + 9 = 0\).
Step 3 :Subtract 9 from both sides of the equation to isolate x.
Step 4 :The solution to the equation \(x + 9 = 0\) is \(x = -9\).
Step 5 :This means that the rational expression is undefined when \(x = -9\).
Step 6 :Final Answer: The rational expression is undefined when \(x = \boxed{-9}\).