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mew55
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in?
Katieann16
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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
Dido525
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|dw:1355111236995:dw|
Dido525
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|dw:1355111283159:dw|
Dido525
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|dw:1355111302670:dw|
Katieann16
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....
Dido525
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Sorry.
Dido525
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f o g means f(g(x)) in other words it's saying f of some value x of g(x) .
jonnyrules96
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just put it g(x) as x into f(x)
Dido525
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|dw:1355111495183:dw|
Dido525
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That's an example.
Dido525
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Basically you substitute in one function inside of the other.
jonnyrules96
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now just apply same concept to your question
Dido525
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fog means f(g(x)) meaning you substitute g(x) wherever there is an x.
Dido525
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similarly gof means g(f(x)) so substitute f(x) anywhere there is an x at.
Dido525
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So we are given,
|dw:1355111651185:dw|
Dido525
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Do you understand? @Katieann16
zordoloom
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|dw:1355111885222:dw|
zepdrix
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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.
\[\large f(x)=\frac{1}{x}, \qquad g(x)=2x\]\[\large f(g(x))\quad = \quad f(2x) \quad = \quad \frac{1}{2x}\]