Question

Find the Domain and Range of y=2x/(x-1)

Answer 1

your domain is anything that would make y undefined... which would mean that x-1=0

Answer 2

the function becomes undifined when denominator is 0

Answer 3

so x -1 not equal 0

x not equal 1

Domain = R-{1}

Answer 4

The range is what I actually needed. Domain of fractions are pretty simple.

Answer 5

the range is the y where x is in the domain

Answer 6

for Range put y = f(x)

y=2x/(x-1)

y(x-1) = 2x

yx - y = 2x

x (y-2) = y

x = y/y-2

Answer 7

nw Same Condition Apply

y - 2 not equal 0

y not equal 2

so Range = R-{2}

Answer 8

@Grazes got it ?

Answer 9

How did yx - y = 2x
turn into x (y-2) = y

Answer 10

yx - 2x = y

x (y-2) = y

Answer 11

range is everything actually....

Answer 12

Ahh. Alright.

Answer 13

cuz at the asymptote..... it goes up to positive and dwon to negative infinities

Answer 14

with the horizontal one at 2

Answer 15

sooo Range = (-infinity,2);(2,infinity)

Answer 16

Range is {y|y∈ℝ, y≠2}
According to Yahoo

Answer 17

which is exactly what i stated... though in a different way... cuz basically what Yahoo is saying is that range is everything except for when y=2

Answer 18

yepyepyep

Answer 19

Could you also divide 2x by x-1 using polynomial division?