The function \( g \) is defined below. \[ g(x)=\frac{x+4}{x^{2}+13 x+36} \] Find all values of \( x \) that are NOT in the domain of \( g \). If there is more than one value, separate them with commas.

To find the values of \( x \) that are not in the domain of the function \( g(x) \), we need to look for values that make the denominator zero since division by zero is undefined. The denominator is given by: \[ x^2 + 13x + 36 \] We need to set the denominator equal to zero and solve for \( x \): \[ x^2 + 13x + 36 = 0 \] To factor the quadratic, we look for two numbers that multiply to \( 36 \) and add up to \( 13 \). These numbers are \( 4 \) and \( 9 \). So, we can factor the equation as: \[ (x + 4)(x + 9) = 0 \] Setting each factor to zero gives: 1. \( x + 4 = 0 \) ⇒ \( x = -4 \) 2. \( x + 9 = 0 \) ⇒ \( x = -9 \) Thus, the values of \( x \) that are NOT in the domain of \( g \) are: \[ \boxed{-4, -9} \]