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anonymous

  • one year ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)).

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  1. anonymous
    • one year ago
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  2. anonymous
    • one year ago
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    f(x)=\[\frac{ 2 }{ x^{2} }\]

  3. vera_ewing
    • one year ago
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    @satellite73

  4. anonymous
    • one year ago
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    Your pick for f(x) won't work because you need the x part to be with g(x). You can choose g(x) = 2/x² though because it's the inside function

  5. anonymous
    • one year ago
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    Then f(x) is the outside function, so it would be like you substituted 2/x² in for the x in f(x) = x + 9

  6. anonymous
    • one year ago
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    so f(x)=x+9 f(2/(x^2))=(2/(x^2))+9 is wrong?

  7. anonymous
    • one year ago
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    that's right because g(x) = 2/x²

  8. anonymous
    • one year ago
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    so when g(x) = 2/x², the x in f(x) = x + 9 f(2/x²)=2/x², +9?

  9. anonymous
    • one year ago
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    yes that's correct

  10. anonymous
    • one year ago
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    thank you

  11. anonymous
    • one year ago
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    so i just write

  12. anonymous
    • one year ago
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  13. zzr0ck3r
    • one year ago
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    1) Don't use \(y\) as \(y\) here is actually \(f(g(x))\). So just use \(f(x) \) and \(g(x)\) 2) What you wrote in that last post is not what you wrote before, the latter is incorrect. You want \(f(x) = x+9\) and \(g(x) = \dfrac{2}{x^2}\). Now we have \(f(g(x)) = f(\dfrac{2}{x^2})= \dfrac{2}{x^2}+9\) as desired.

  14. anonymous
    • one year ago
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    I think I misunderstood what you were saying. f(x) = x + 9 g(x) = 2/x² The function f(g(x)) = (2/x²) + 9 is a composed function made up of both f(x) and g(x).

  15. anonymous
    • one year ago
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    so just this: f(x) and g(x) so that the function can be described as y = f(g(x)). f(x)= 2/x²+ 9 g(x) = 2/x²

  16. zzr0ck3r
    • one year ago
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    p.s. If you would like to be a smart retriceon the test, there is always one answer that will work. Let \(g(x) = \frac{2}{x^2}+9\) and let \(f(x) = x\), or vice versa. This will always work :)

  17. zzr0ck3r
    • one year ago
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    that should say "smart a**"

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