is it possible to have a negative fraction as a restriction?

[noobzilla]

When simplyfing rational expressions, after factoring:

Say I have (3x - 8)

can I state that x cannot be -8/3?

[stapel_eliz]

That would depend upon where the factor is. If it's in the numerator, then it creates no restriction on the domain.

In general, however, the domain can be restricted pretty much any way you want. For instance:

. . . . .

...has the domain .

[noobzilla]

Thanks

I was actually referring to a case in where we need to set restrictions on the denominator, but I've never seen a negative fraction as a restriction so that's why I'm asking.

[stapel_eliz]

Negative numbers are numbers, just like positive numbers.

Fractions are numbers, just like whole numbers, integers, and irrationals.

Any of these can cause division by zero.