The function \( f \) is defined as follows. \[ f(x)=\frac{x^{2}-9 x+8}{x^{2}-12 x+36} \] Find \( f(6) \). Simplify your answer as much as, possible. If applicable, click on "Undefined". \( f(6)= \) Undefined

Let's find \( f(6) \) first by substituting \( x = 6 \) into the function. \[ f(6) = \frac{6^{2} - 9 \times 6 + 8}{6^{2} - 12 \times 6 + 36} \] Calculating the numerator: \[ 6^{2} - 9 \times 6 + 8 = 36 - 54 + 8 = -10 \] Now, calculating the denominator: \[ 6^{2} - 12 \times 6 + 36 = 36 - 72 + 36 = 0 \] Having a denominator of 0 means \( f(6) \) is undefined. So, the final answer is: \( f(6) = \) Undefined