To simplify the denominator of the expression \( 4 + (-6) \cdot 2 / -(-3)^2 \), we first need to evaluate the denominator:
\[ -(-3)^2 \]
First, calculate \( (-3)^2 \):
\[ (-3)^2 = 9 \]
Now substitute this back into the expression for the denominator:
\[ -(-3)^2 = -9 \]
Thus, the simplified denominator is:
\[ -9 \]