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anonymous
 4 years ago
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anonymous
 4 years ago
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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0if 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
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355111236995:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355111283159:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355111302670:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0f o g means f(g(x)) in other words it's saying f of some value x of g(x) .

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0just put it g(x) as x into f(x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355111495183:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Basically you substitute in one function inside of the other.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now just apply same concept to your question

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0fog means f(g(x)) meaning you substitute g(x) wherever there is an x.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0similarly gof means g(f(x)) so substitute f(x) anywhere there is an x at.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So we are given, dw:1355111651185:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Do you understand? @Katieann16

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0dw:1355111885222:dw

zepdrix
 4 years ago
Best ResponseYou've already chosen the best response.1These 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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