The rational expression is
![(9a-11)/(-a-9)](https://img.qammunity.org/2023/formulas/mathematics/college/4hpnrqu0n0tpheukudr52va9l3hekpz5kd.png)
The values of a which make the rational expression undefined are the values that make the denominator = 0
Then to find them equate the denominator by 0
The denominator is (-a - 9)
![-a-9=0](https://img.qammunity.org/2023/formulas/mathematics/college/r12n4i4shbexec9j095s11v2wlddsuvj1k.png)
Add 9 to each side
![\begin{gathered} -a-9+9=0+9 \\ -a=9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/iu6p0eommwi6lbam1mek575cvjy1gwg823.png)
Divide each side by -1
![\begin{gathered} (-a)/(-1)=(9)/(-1) \\ a=-9 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/zxsy9fi9yljxaekrujyf7fdhalqghr3uww.png)
The value of a which makes the rational expression undefined is -9
The answer is a = -9