Question

Which graph represents the function f(x)= 2x-1/x-1

Answer 1

The third answer is the right one. Or C

Answer 2

To determine which graph represents the function
`f(x)=(2x-1)/(x-1)` make following steps:

1. The vertical asymptote is
`x=1.`

2. Simplify the function

`f(x)=(2x-1)/(x-1)=(2x-1-1+1)/(x-1)=(2(x-1)+1)/(x-1)=2+(1)/(x-1).`

Then the horizontal asymptote is
`y=2.`

Only option C contains graph with such asymptotes.

Answer: correct choice is C