what values is the following expression undefined? (x-2)/(x^2+9)

Question

not sure what the domain restrictions are for x^2 = -9

Answer 1

The expression will be undfined where

the denominator is zero

 

x² + 9 = 0

x² = -9

x = ±√(-9)

x = ±3i

 

There are no real values of x where the

expression is undefined because x² will

always be positive and thus x² + 9

will never equal zero.