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MoonlitFate Group Title

Determine the value of c so that f(x) is continuous on the entire real line if: f(x) = {x^2 for x< or = 3; c/x for x >3}

  • one year ago
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  1. satellite73 Group Title
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    this is much easier than you think

    • one year ago
  2. satellite73 Group Title
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    replace \(x\) by \(3\) in the first expression, get \(3^2=9\) then set \(\frac{c}{3}=9\) and solve for \(c\)

    • one year ago
  3. satellite73 Group Title
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    then they will agree when \(x=3\) and so it will be continuous

    • one year ago
  4. MoonlitFate Group Title
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    Wow. :( Math always seems so much harder than you think.

    • one year ago
  5. satellite73 Group Title
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    yeah, but once you know it it gets much easier think about when you were learning to add fractions (which is harder than this!)

    • one year ago
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