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PhiBeeandJay

  • 2 years ago

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

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  1. Mertsj
    • 2 years ago
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    What is f(-x)?

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

  3. satellite73
    • 2 years ago
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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 \(-x\)

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

  5. satellite73
    • 2 years ago
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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

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

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

  8. PhiBeeandJay
    • 2 years ago
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    Yes.

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

  10. PhiBeeandJay
    • 2 years ago
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    Thank you!

  11. satellite73
    • 2 years ago
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    yw hope it is clear

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