Let ƒ(x)=1x and g(x)=x2 − 6x. What two numbers are not in the domain of ƒ º g?
Separate your answers with a comma.

Question

Let ƒ(x)=1x and g(x)=x2 − 6x. What two numbers are not in the domain of ƒ º g?
Separate your answers with a comma.

anonymous · Answer

1/x
not 1x
typo sorry

imer · Answer

Do you mean? $$f(x)=\frac{ 1 }{ x }$$$$g(x)=x^2-6x$$

anonymous · Answer

yes

anonymous · Answer

please help!!

anonymous · Answer

How do I figure it out? 
It's a timed question and I only have 2 min left

imer · Answer

$$f(g(x))=f º g(x)$$, substitute g(x) in the place of "x"  for f(x). Please do it for me.

anonymous · Answer

How? I'm so confused!

imer · Answer

$$f(x)=\frac{ 1 }{ x }$$where g(x) is the input. $$f(g(x))=\frac{ 1 }{ (x^2-6x) }$$

anonymous · Answer

so how do I find the answer?

imer · Answer

Now you can simplify the denominator, can you do it for me please?

anonymous · Answer

9?

imer · Answer

how 9? The denominator is $$x^2-6x$$and you see both terms have "x" common, so you re-write it as$$x(x-6)$$. We know, we can't have division by zero, for which values of "x", the denominator becomes zero?

anonymous · Answer

0..
I dont understand at all. 
I'm panicking because I'm running out of time and I need to get this answer correct in order to pass.
Can u give me the answer and then explain to me?

imer · Answer

x=0 or x=6 is the answer.

anonymous · Answer

how come?

anonymous · Answer

and thanks so much. it was correct

imer · Answer

$$A*B=0$$is either of "A" or "B" is zero, you will get zero. $$0*B=0$$or$$A*0=0$$Now replace "A" with "x" and "B" with "x-6" and try to make each term zero individually.

anonymous · Answer

Oh! Thanks so much!!