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To find the undefined value for the equation \( 22 = \frac{4 + 5x}{9x - 6} \), we need to determine when the denominator is equal to zero, as this would make the expression undefined.
The denominator is:
\[
9x - 6
\]
Setting the denominator equal to zero:
\[
9x - 6 = 0
\]
Solving for \( x \):
\[
9x = 6
\]
\[
x = \frac{6}{9} = \frac{2}{3}
\]
Thus, the undefined value is:
\[
\frac{2}{3}
\]
So the answer is:
\[
\text{The undefined value is } \frac{2}{3}.
\]