Which value of x is NOT part of the domain of this function?

g(x) = 10/(x – 3)

1. 10
2. 3
3. -3
4. -10

Question

Which value of x is NOT part of the domain of this function?

g(x) = 10/(x – 3)

1. 10
2. 3
3. -3
4. -10

jhannybean · Answer

the restrictions for a domain happen when the numerator or denominator give you a value f 0 or do not exist.

In this case you have  x - 3 = 0 in the denominator, what do you get when you solve for x?

anonymous · Answer

x=3

anonymous · Answer

Is that the answer? lol

jhannybean · Answer

I'll explain. when you have x=3, what happens when you plug 3 back into the denominator?

anonymous · Answer

Does it cancel out?

jhannybean · Answer

it "cancels out" or you could say it equals 0. And when you have a 0 in the denominator the function is undefined, right?

jhannybean · Answer

undefined at that point*

in this case, x=3.

anonymous · Answer

Thank you so much for your help.. :)

jhannybean · Answer

Do you understand how to find these undefined points?

jhannybean · Answer

And no problem :)

anonymous · Answer

Yeah I do, thanks :)