The function \( f \) is defined below. \[ f(x)=\frac{x^{2}-5 x-36}{x^{2}-64} \] Find all values of \( x \) that are NOT in the domain of \( f \). If there is more than one value, separate them with commas. \( x= \) (in

To find the values of \( x \) that are not in the domain of the function \( f(x) = \frac{x^{2}-5x-36}{x^{2}-64} \), we need to identify where the denominator is equal to zero, as these values will make the function undefined. 1. **Set the denominator equal to zero:** \[ x^{2} - 64 = 0 \] 2. **Solve for \( x \):** \[ x^{2} = 64 \] Taking the square root of both sides gives: \[ x = \pm 8 \] Thus, the values of \( x \) that are not in the domain of \( f \) are \( x = 8 \) and \( x = -8 \). Therefore, the final answer is: \[ x = 8, -8 \]