anonymous
  • anonymous
If f(x) = |x|, for what value of x does f(x-2) = f(x+2)?
Mathematics
chestercat
  • chestercat
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myininaya
  • myininaya
|x-2|=|x+2| It is asking you to solve this.
ParthKohli
  • ParthKohli
@CLester13 So, do you have a better way to say, "f(x - 2) = f(x + 2)"?
ParthKohli
  • ParthKohli
What myin said. ^

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ParthKohli
  • ParthKohli
If you think like a philosopher, |-something| = |something| right?
ParthKohli
  • ParthKohli
Or, |-something| = |-something| or |something| = |something| Which leaves JUST ONE POSSIBILITY: x - 2 is the opposite of x + 2, right?
ParthKohli
  • ParthKohli
@CLester13: Hullo.
ParthKohli
  • ParthKohli
Okay, answer this thing when you come online: How do you represent this sentence - "the opposite of x + 2"?
anonymous
  • anonymous
x-2
myininaya
  • myininaya
I would square both sides of |x-2|=|x+2| so I wouldn't need to worry about the absolute value. So perhaps you know how to solve this: \[(x-2)^2=(x+2)^2\] Hint: Expand both sides. You will be in for a real treat.
ParthKohli
  • ParthKohli
That's a really cool way. :)

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