anonymous
  • anonymous
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Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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mew55
  • mew55
in?
anonymous
  • anonymous
if f(x)= 1/x & g(x)= 2x, Which of the following statement is true? A)(fog)(1)=2 B)(fog)(0)=3 C)(fog)(2)=1/4 D)(gof)(-2)=7
anonymous
  • anonymous
|dw:1355111236995:dw|

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anonymous
  • anonymous
|dw:1355111283159:dw|
anonymous
  • anonymous
|dw:1355111302670:dw|
anonymous
  • anonymous
....
anonymous
  • anonymous
Sorry.
anonymous
  • anonymous
f o g means f(g(x)) in other words it's saying f of some value x of g(x) .
anonymous
  • anonymous
just put it g(x) as x into f(x)
anonymous
  • anonymous
|dw:1355111495183:dw|
anonymous
  • anonymous
That's an example.
anonymous
  • anonymous
Basically you substitute in one function inside of the other.
anonymous
  • anonymous
now just apply same concept to your question
anonymous
  • anonymous
fog means f(g(x)) meaning you substitute g(x) wherever there is an x.
anonymous
  • anonymous
similarly gof means g(f(x)) so substitute f(x) anywhere there is an x at.
anonymous
  • anonymous
So we are given, |dw:1355111651185:dw|
anonymous
  • anonymous
Do you understand? @Katieann16
anonymous
  • anonymous
|dw:1355111885222:dw|
zepdrix
  • zepdrix
These guys have given you a good explanation as of how to get to the answer, but just in case you're still confused about what (f o g)(x) should look like, here you go. \[\large f(x)=\frac{1}{x}, \qquad g(x)=2x\]\[\large f(g(x))\quad = \quad f(2x) \quad = \quad \frac{1}{2x}\]

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