Question

find the domain of the rational function x/x^3-343

Answer 1

The denominator should not be zero.
Find all x-values that would make the denominator zero and exclude them from the domain.

Answer 2

so -7, and 7

Answer 3

-7 will not make the denominator zero but 7 will.

Answer 4

x cannot be 7. So the domain is: (-infinity, 7) U (7, infinity)
where U is the Union symbol.

Answer 5

the choices were either -7, or 7

Answer 6

Another way to express the same result is \(\Large x \ne 7 \)

Answer 7

yes!

Answer 8

Alright.