anonymous
  • anonymous
Please help! Find f(-x)-f(x) for the following function: f(x)=x^3+x-9
Mathematics
chestercat
  • chestercat
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Mertsj
  • Mertsj
What is f(-x)?
anonymous
  • anonymous
The question didn't say and so I'm stuck.
anonymous
  • anonymous
\(f(3)=3^2+3-9=27+3-9=21\) \(f(-3)=(-3)^2+(-3)-9=-27-3-9=-39\) \(-39-21=-60\) now try it with just \(x\) and \(-x\)

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anonymous
  • anonymous
\(f(-x)\) is confusing, but it means replace \(x\) everywhere by \(-x\)
anonymous
  • anonymous
so first step is to write \(f(-x)= (-x)^3+(-x)-9\) and then simplify a big take that answer, and subtract \(x^3+x-9\) from it make sure to use parentheses
anonymous
  • anonymous
So it would be -x-x-9-(x^2+x-9)?
anonymous
  • anonymous
i assume you mean \[-x^3-x-9-(x^3+x-9)\]
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
ok good, now remove the parentheses by distributing the minus sign, then combine like terms
anonymous
  • anonymous
Thank you!
anonymous
  • anonymous
yw hope it is clear

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