amandaxdehaven
amandaxdehaven amandaxdehaven
  • 01-05-2017
  • Mathematics
contestada

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

Which graph represents the function fx 2x1x1 class=
Which graph represents the function fx 2x1x1 class=

Respuesta :

gtenuta75 gtenuta75
  • 11-07-2018
The third answer is the right one. Or C
Answer Link
frika
frika frika
  • 15-11-2018

To determine which graph represents the function [tex]f(x)=\dfrac{2x-1}{x-1}[/tex] make following steps:

1. The vertical asymptote is [tex]x=1.[/tex]

2. Simplify the function

[tex]f(x)=\dfrac{2x-1}{x-1}=\dfrac{2x-1-1+1}{x-1}=\dfrac{2(x-1)+1}{x-1}=2+\dfrac{1}{x-1}.[/tex]

Then the horizontal asymptote is [tex]y=2.[/tex]

Only option C contains graph with such asymptotes.

Answer: correct choice is C

Answer Link

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