anonymous
  • anonymous
If f(x + 3) = \(x^2 + 2x + 4\), find f(x). Do I just plug in x + 3 for x?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Replace x + 3 by x.. So put x - 3..
anonymous
  • anonymous
Wait, why would that work? I just want to understand the dynamics of why it works.
anonymous
  • anonymous
put x - 3 inplace of x because f((x-3)+3)=f(x-3+3)=f(x)

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anonymous
  • anonymous
If you replace there x by x -3: Then: \[f(\color{green}{x} + 3) = f(\color{blue}{x - 3} + 3) = f(x)\]
anonymous
  • anonymous
Oh I get it now... f(x) = x^2 - 4x + 7?
anonymous
  • anonymous
Well Done..
anonymous
  • anonymous
Thanks :)
anonymous
  • anonymous
Hey right this time you became 93.. Congratulations..
anonymous
  • anonymous
Thank you again :)

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