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afievans
 one year ago
Find the domain of the composite function f∘g. f(x)=x^2+2; g(x)=√x−1
afievans
 one year ago
Find the domain of the composite function f∘g. f(x)=x^2+2; g(x)=√x−1

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sleung
 one year ago
Best ResponseYou've already chosen the best response.0The domain is the set of all reals, since f(g(x))=x+1.

afievans
 one year ago
Best ResponseYou've already chosen the best response.0why is f(g(x)) = x+1 since the equation states f(g(x)) equals the square root of x1

sleung
 one year ago
Best ResponseYou've already chosen the best response.0You plug in the square root of x1 for x.

sleung
 one year ago
Best ResponseYou've already chosen the best response.0\[f(g(x))=(\sqrt{x1})^{2}+2=(x1)+2=x+1\]

afievans
 one year ago
Best ResponseYou've already chosen the best response.0oh great... this makes sense now. so what is the domain? hope I am asking the right question

sleung
 one year ago
Best ResponseYou've already chosen the best response.0x can be anything, so the domain is the set of all real numbers.

afievans
 one year ago
Best ResponseYou've already chosen the best response.0Thank you. you are a star!
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