anonymous
  • anonymous
Find the vertical asymptotes, if any, of the graph of the rational function. Show your work. f(x) = x-4/x(x-4)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
x=1 is your vertical asymptote though if there was a factor of x-1 on top then it could possibly be a hole that is f(x)=(x-1)/(x-1) has a hole at x=1 (not a vertical asymptote) that is f(x)=x(x-1)/(x-1) also has a hole at x=1 but g(x)=(x-1)/(x-1)^2 has a vertical asympote at x=1 since it has more (x-1)'s on bottom then on top my answer Teacers reply>You find the VA's by setting the denominator to 0. When we get a factor that cancels out, it is not a vertical asymptote. What is it? Graph it to see what it looks like
anonymous
  • anonymous
@campbell_st
anonymous
  • anonymous
Is this from a test or something?

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anonymous
  • anonymous
no its from my work
anonymous
  • anonymous
i havent taken my midterm yet lol
Jack1
  • Jack1
f(x) = x-4/x(x-4) is that: \(\Large f(x) = x- \frac4x \times(x-4) \) or \(\Large f(x) = x- \frac4{x \times(x-4)} \) or \(\Large f(x) = \frac{x-4}{x \times(x-4)} \)
anonymous
  • anonymous
|dw:1439383403225:dw|
Jack1
  • Jack1
ok... so find when we're dividing by zero so denominator = x(x-4) ... when does this = 0?
anonymous
  • anonymous
when we divide bye zero
Jack1
  • Jack1
a(b) = 0 so either a = 0 or b = 0 in this case...a = x... so if a = 0, x = 0 a(b) = 0 in this case... b = x-4 if b = 0... x-4 = 0 ... so x = 4 vertical asymtotes at x=0 and x=4... yeah?
Jack1
  • Jack1
is that how it works?
Jack1
  • Jack1
or do u have to simplify the equation first?
anonymous
  • anonymous
idk i gave my answer to the teacher and she said i was wrong so i dont know what to do
Jack1
  • Jack1
kk \(\huge f(x) = \frac{x-4}{x \times(x-4)}\) \(\huge f(x) = \frac{\color{red}{x-4}}{x \times\color{red}{(x-4)}}\) \(\huge f(x) = \frac{1}{x}\)
Jack1
  • Jack1
so if that's ur eqn.. then simplified it's f(x) = 1/x so when denominator = 0, then u have vertical asymptotoes only 1 v.a in this equation, it's when x = 0
Jack1
  • Jack1
right...?
anonymous
  • anonymous
right
Jack1
  • Jack1
k... k bye

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