Question

Determine the domain of the function.

Answer 1

D

Answer 2

@welshfella Is D correct?

Answer 3

i think it's D. :o

Answer 4

The domain is all the values of x.

Answer 5

@confluxepic it can't be all values of x because x is in the denominator.

Answer 6

@vera_ewing it's not B

Answer 7

Would it be A?

Answer 8

Try to figure out ALL of the values of x that are not in the domain.

Answer 9

So then it's D? That was my first choice.

Answer 10

Sorry I didn't see your first choice. I only saw B.

Answer 11

D is correct.

Answer 12

you should be more certain.

the way you know the answer is remember
NO divide by zero

some values for x will cause the bottom to be zero, and we do not allow those

Answer 13

Thank you.

Answer 14

All right, @phi Thanks.

Answer 15

@vera_ewing I agree with @phi. If someone challenges any answer you choose, you should be ready to defend your answer.

Answer 16

notice if x=0 you would get 0* (0-81) = 0*-81 = 0
and the bottom would be 0, and that is bad.
so you should look for choices that say \( x\ne 0\)

Answer 17

Thanks so much, @phi and @Hero

Answer 18

Yes @hero
I was just stating the definition of the domain to help the asker understand.

I guess it would have been clearer if I added "possible" to the definition to make it more accurate.