Respuesta :
Answer:
This expression will become undefined at a=-9 and a=9
Step-by-step explanation:
We are given rational expression as
[tex]\frac{3a^2-27}{324-4a^2}[/tex]
We know that any rational expression is undefined when it's denominator becomes 0
so, we can set denominator =0
and then we can solve for 'a'
[tex]324-4a^2=0[/tex]
now, we can factor it
[tex]4(81-a^2)=0[/tex]
[tex](81-a^2)=0[/tex]
[tex](9-a)(9+a)=0[/tex]
[tex](9-a)=0[/tex]
[tex]a=9[/tex]
[tex](9+a)=0[/tex]
[tex]a=-9[/tex]
So,
This expression will become undefined at a=-9 and a=9
