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CLester13

  • 3 years ago

If f(x) = |x|, for what value of x does f(x-2) = f(x+2)?

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  1. myininaya
    • 3 years ago
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    |x-2|=|x+2| It is asking you to solve this.

  2. ParthKohli
    • 3 years ago
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    @CLester13 So, do you have a better way to say, "f(x - 2) = f(x + 2)"?

  3. ParthKohli
    • 3 years ago
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    What myin said. ^

  4. ParthKohli
    • 3 years ago
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    If you think like a philosopher, |-something| = |something| right?

  5. ParthKohli
    • 3 years ago
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    Or, |-something| = |-something| or |something| = |something| Which leaves JUST ONE POSSIBILITY: x - 2 is the opposite of x + 2, right?

  6. ParthKohli
    • 3 years ago
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    @CLester13: Hullo.

  7. ParthKohli
    • 3 years ago
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    Okay, answer this thing when you come online: How do you represent this sentence - "the opposite of x + 2"?

  8. CLester13
    • 3 years ago
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    x-2

  9. myininaya
    • 3 years ago
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    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.

  10. ParthKohli
    • 3 years ago
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    That's a really cool way. :)

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