(x^2-9)/(x+2)-:(x-3)/(x^(2)-2x-8)

find the restrictions

1 answer

The restrictions for this expression will be the values of x that make the denominator of any fraction equal to zero, since division by zero is undefined.

For the first fraction:
Denominator: x + 2
Restriction: x cannot be equal to -2

For the second fraction:
Denominator: x^2 - 2x - 8
Factorizing the denominator: (x - 4)(x + 2)
Restriction: x cannot be equal to 4 or -2

Therefore, the restrictions for the expression are: x cannot be equal to -2 or 4.