anonymous
  • anonymous
i have no clue how to solve this
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
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anonymous
  • anonymous
All you do is plug in x = whatever wherever you see an x. So, for f(1) you are doing it for x = 1. So, plug in 1 everywhere you see an x: \[(3(1)^2-4(1)+1)/(3(1)-1)=(3-4+1)/(3-1)=0/2=0\]
anonymous
  • anonymous
You still here?

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anonymous
  • anonymous
yeah im still here
anonymous
  • anonymous
That's a pretty impressive question! Here's where we start... Let's see if the top can factor first...
anonymous
  • anonymous
would i start by canceling out the 3 on the top and bottom?
anonymous
  • anonymous
No, you can't cancel them because they are not factors. You want to factor first and then cancel things.
anonymous
  • anonymous
The reason you can't cancel like that is similar to the reason you can't do this: |dw:1332645826666:dw|
anonymous
  • anonymous
You want to factor the top first... I'll show you...
anonymous
  • anonymous
lol ok i understand that concept better
anonymous
  • anonymous
Take a look at this: |dw:1332645962032:dw|
anonymous
  • anonymous
What would cancel?
anonymous
  • anonymous
the (3x-1)
anonymous
  • anonymous
Exactly! So you're left with x-1
anonymous
  • anonymous
More specifically, you're left with : f(x)=x-1
anonymous
  • anonymous
Now, let's take a look at f(1), f(0), and f(-1)
anonymous
  • anonymous
ok does this mean i already found f(-1) ?
anonymous
  • anonymous
No, that's function notation. It's just a coincidence that our function simplified down to something that has an x and a -1 in it. Here are the three things you want to simplify so you can see if they match what they question suggested they would match. f(1)=(1)-0 f(0)=(0)-1 f(-1)=(-1)-1
anonymous
  • anonymous
they=the
anonymous
  • anonymous
so how would i solve this question?
anonymous
  • anonymous
Technically, this question isn't asking you to solve anything. It's asking you to reason through and explain why certain input values cause certain output values. The three questions I posed above, what would the right side of the equal sign simplify down to? f(1)=? f(0)=? f(-1)=?
anonymous
  • anonymous
Woah - wait a sec... I typed the wrong thing
anonymous
  • anonymous
so then why would f(-1)=-1?
anonymous
  • anonymous
wouldnt it be a positive 1?
anonymous
  • anonymous
f(x)=x-1 f(1)=1-1 f(1)=0
anonymous
  • anonymous
I'm sorry about that. Let's try it again... f(x) = x-1 f(1) = 1-1 f(1) = 0 f(0) = 0-1 f(0) = -1 f(-1)=-1-1 f(-1)=-2
anonymous
  • anonymous
That's better! :)
anonymous
  • anonymous
in order for me to get this question right, what would i write? because im confused on what to say
anonymous
  • anonymous
I'm just gonna cut to the chase here: Here's how I would respond to this question... If you start by factoring this function, and simplify it, you can see that f(-1)=-2, f(0)=-1, and f(1)=0. However, because this is a rational function, we have to check its domain. If you set the original denominator to zero and solve, you see that a -1/3 should not be in the domain because it causes the function to be undefined.
anonymous
  • anonymous
Yikes, that should be a +1/3
anonymous
  • anonymous
Man, I really botched this one... lol I sure hope you're not more confused than when you started. :)
anonymous
  • anonymous
lol thank you
anonymous
  • anonymous
Sure thing! :)

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