Question

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

Answer 1

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

Answer 2

yes

Answer 3

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

Answer 4

?

Answer 5

wait no

Answer 6

there is a asymptote

Answer 7

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

Answer 8

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 \(0\)

Answer 9

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

Answer 10

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

Answer 11

but the line doesnt touch zero...

Answer 12

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

Answer 13

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

Answer 14

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