anonymous
  • anonymous
Find f(x) and g(x) so that the function can be described as y = f(g(x)).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
anonymous
  • anonymous
f(x)=\[\frac{ 2 }{ x^{2} }\]
vera_ewing
  • vera_ewing
@satellite73

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anonymous
  • anonymous
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
anonymous
  • anonymous
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
anonymous
  • anonymous
so f(x)=x+9 f(2/(x^2))=(2/(x^2))+9 is wrong?
anonymous
  • anonymous
that's right because g(x) = 2/x²
anonymous
  • anonymous
so when g(x) = 2/x², the x in f(x) = x + 9 f(2/x²)=2/x², +9?
anonymous
  • anonymous
yes that's correct
anonymous
  • anonymous
thank you
anonymous
  • anonymous
so i just write
anonymous
  • anonymous
zzr0ck3r
  • zzr0ck3r
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.
anonymous
  • anonymous
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).
anonymous
  • anonymous
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
zzr0ck3r
  • zzr0ck3r
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 :)
zzr0ck3r
  • zzr0ck3r
that should say "smart a**"

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