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To find the undefined value for the expression \( \frac{22 = 4 + 5x}{9x - 6} \), we first need to identify when the denominator is equal to zero since an expression becomes undefined when the denominator is zero.
Set the denominator equal to zero:
\[
9x - 6 = 0
\]
Now, solve for \( x \):
\[
9x = 6
\]
\[
x = \frac{6}{9}
\]
\[
x = \frac{2}{3}
\]
Therefore, the undefined value for the expression is:
\[
\frac{2}{3}
\]
In reduced fraction form, the undefined value is \( \frac{2}{3} \).