domain and range of
g(x) = 2/x-1

Question

domain and range of
g(x) = 2/x-1

anonymous · Answer

is it 
$$g(x)=\frac{2}{x-1}$$?

anonymous · Answer

yes

anonymous · Answer

[1,infinity) is the domain set x-1 = 0

anonymous · Answer

?

anonymous · Answer

wait no

anonymous · Answer

there is a asymptote

anonymous · Answer

domain unless otherwise specified would be all numbers except for the value of $x$ which would make the denominator equal to zero
if you try to divide by zero you will have a stroke and explode

anonymous · Answer

in other words, it is all real numbers except $x=1$ 
as for the range, a fraction is only zero if the numerator is 
since the numerator here is $2$ the function is never zero and the range is all real numbers except $0$

anonymous · Answer

so the range is all real #s because the line touches 1 but not zero correct?

anonymous · Answer

(-infinity,0) U (0, infinity) range

anonymous · Answer

but the line doesnt touch zero...

anonymous · Answer

yeah thats why you put ")" if it is touching the point then you put "]"

anonymous · Answer

oh ok im trying to get back into the groove of things lol sorry

anonymous · Answer

hey no worry! here to help as much as i can haha