engenoway
engenoway engenoway
  • 10-04-2016
  • Mathematics
contestada

the function h(x)=x^2+3 and g(x)=x^2-6. if g(x)=h(x)+k, what is the value of k?

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konrad509
konrad509 konrad509
  • 10-04-2016
[tex]x^2-6=x^2+3+k\\ k=-9[/tex]
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Panoyin
Panoyin Panoyin
  • 10-04-2016
g(x) = x² - 6
h(x) = x² + 3

    g(x) = h(x) + k
  x² - 6 = (x² + 3) + k
  x² - 6 = x² + 3 + k
- x²       - x²
      -6 = 3 + k
     - 3  - 3
      -9 = k

The value of k is -9.
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