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afievans
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Find the domain of the composite function f∘g. f(x)=x^2+2; g(x)=√x−1
 9 months ago
 9 months ago
afievans Group Title
Find the domain of the composite function f∘g. f(x)=x^2+2; g(x)=√x−1
 9 months ago
 9 months ago

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

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

sleung Group TitleBest ResponseYou've already chosen the best response.0
You plug in the square root of x1 for x.
 9 months ago

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

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

sleung Group TitleBest ResponseYou've already chosen the best response.0
x can be anything, so the domain is the set of all real numbers.
 9 months ago

afievans Group TitleBest ResponseYou've already chosen the best response.0
Thank you. you are a star!
 9 months ago
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