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osanseviero
 3 years ago
The domain of a composition of two functions
osanseviero
 3 years ago
The domain of a composition of two functions

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osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1Natural domain of \[f(x)=\frac{ 1 }{ x3 }\] g(x)=5x \[(Fog)(x)\] It is x\[x \in[1,infinite)\] ?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1what did you get for f(g(x)) = .... ?

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1Let me do it, give me a sec

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1ooops sorry, confused question, give me another sec

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1am i reading the question correct ? f(x) =1/ (x3) g(x) =5x ? i don't see ..... oh, okk

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1Sorry, the mistake was the question

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1\[f(x)=\sqrt{x+1}\] g(x)=14x

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1yes, f(g(x)) is correct then

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1now quantity under square root cannot be negative

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1So the domain is x<= 1/2 for the square root, and I take the intersection

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1yep, thats correct! good :)

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1So I need to take the domain of FoG with \[\left\{ x \in Dgg(x)\in Df \right\}\]

osanseviero
 3 years ago
Best ResponseYou've already chosen the best response.1And intersect that with the domain of the last result?

hartnn
 3 years ago
Best ResponseYou've already chosen the best response.1i am not sure about what that notation says, but yes, you take the intersection domains of both the funtion with composite function to get the final domain
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