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PhiBeeandJay

Please help! Find f(-x)-f(x) for the following function: f(x)=x^3+x-9

  • one year ago
  • one year ago

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  1. Mertsj
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    What is f(-x)?

    • one year ago
  2. PhiBeeandJay
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    The question didn't say and so I'm stuck.

    • one year ago
  3. satellite73
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    \(f(3)=3^2+3-9=27+3-9=21\) \(f(-3)=(-3)^2+(-3)-9=-27-3-9=-39\) \(-39-21=-60\) now try it with just \(x\) and \(-x\)

    • one year ago
  4. satellite73
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    \(f(-x)\) is confusing, but it means replace \(x\) everywhere by \(-x\)

    • one year ago
  5. satellite73
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    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

    • one year ago
  6. PhiBeeandJay
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    So it would be -x-x-9-(x^2+x-9)?

    • one year ago
  7. satellite73
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    i assume you mean \[-x^3-x-9-(x^3+x-9)\]

    • one year ago
  8. PhiBeeandJay
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    Yes.

    • one year ago
  9. satellite73
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    ok good, now remove the parentheses by distributing the minus sign, then combine like terms

    • one year ago
  10. PhiBeeandJay
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    Thank you!

    • one year ago
  11. satellite73
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    yw hope it is clear

    • one year ago
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