Question

what is the domain of the function shown below?
x/(x^2-9)

Answer 1

Domain is all the x-values that are "allowed" in the equation.
If x^2 - 9 is 0, then we are dividing by 0, which isn't allowed. So x^2 - 9 can't be 0.
The values of x that make x^2 - 9 equal to 0 are 3 and -3. So the domain is all real numbers except for 3 and -3.
Does that make any sense?

Answer 2

yes that makes a lot of sense :)

Answer 3

good job.