Question

what is the excluded value for $y = \frac{-1}{x - 9}$?

Explanation:

Step1: Recall excluded value rule

For a rational function \( y = \frac{f(x)}{g(x)} \), excluded values are where \( g(x) = 0 \) (since division by zero is undefined).

Step2: Set denominator to zero

For \( y = \frac{-1}{x - 9} \), set denominator \( x - 9 = 0 \).

Step3: Solve for x

Solve \( x - 9 = 0 \) by adding 9 to both sides: \( x = 9 \).

Answer:

9