Which graph represents the function f(x)= 2x1/x1
Mathematics
amandaxdehaven
Question
Which graph represents the function f(x)= 2x1/x1
2 Answer

1. User Answers gtenuta75
The third answer is the right one. Or C 
2. User Answers frika
To determine which graph represents the function [tex]f(x)=\dfrac{2x1}{x1}[/tex] make following steps:
1. The vertical asymptote is [tex]x=1.[/tex]
2. Simplify the function
[tex]f(x)=\dfrac{2x1}{x1}=\dfrac{2x11+1}{x1}=\dfrac{2(x1)+1}{x1}=2+\dfrac{1}{x1}.[/tex]
Then the horizontal asymptote is [tex]y=2.[/tex]
Only option C contains graph with such asymptotes.
Answer: correct choice is C