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kayser

what domain restriction should be used for the function f(x) = x2 - 6x + 9 so that it will have an inverse function?

  • 2 years ago
  • 2 years ago

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  1. BlingBlong
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    Find the vortex of the equation as you can tell it is a parabola, then restrict the domain so it can pass the horizontal line test The horizontal line test dictates that a line drawn across a graph should not intersect the line more than once. For a function to have an inverse it must pass this test

    • 2 years ago
  2. across
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    \[f(x)=x^2-6x+9=(x-3)^2.\]Obviously, \(f:[3,\infty)\to\mathbb{R}\) or \(f:(-\infty,3]\to\mathbb{R}\).

    • 2 years ago
  3. kayser
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    oh great, thank you

    • 2 years ago
  4. BlingBlong
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    Hint the x coordinated for the vertex can be found by inputting a = 1 b = -6 into the equation -(b/a(2)) = x coordinate

    • 2 years ago
  5. wasiqss
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    sussane can u cum to twiddla now plz plz

    • 2 years ago
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