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Katieann16 Group TitleBest ResponseYou've already chosen the best response.0
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
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
dw:1355111236995:dw
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
dw:1355111283159:dw
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
dw:1355111302670:dw
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
f o g means f(g(x)) in other words it's saying f of some value x of g(x) .
 one year ago

jonnyrules96 Group TitleBest ResponseYou've already chosen the best response.0
just put it g(x) as x into f(x)
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
dw:1355111495183:dw
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
That's an example.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Basically you substitute in one function inside of the other.
 one year ago

jonnyrules96 Group TitleBest ResponseYou've already chosen the best response.0
now just apply same concept to your question
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
fog means f(g(x)) meaning you substitute g(x) wherever there is an x.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
similarly gof means g(f(x)) so substitute f(x) anywhere there is an x at.
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
So we are given, dw:1355111651185:dw
 one year ago

Dido525 Group TitleBest ResponseYou've already chosen the best response.0
Do you understand? @Katieann16
 one year ago

zordoloom Group TitleBest ResponseYou've already chosen the best response.1
dw:1355111885222:dw
 one year ago

zepdrix Group TitleBest ResponseYou've already chosen the best response.1
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. \[\large f(x)=\frac{1}{x}, \qquad g(x)=2x\]\[\large f(g(x))\quad = \quad f(2x) \quad = \quad \frac{1}{2x}\]
 one year ago
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