anonymous
  • anonymous
Find the domain of the composite function f∘g. f(x)=x^2+2; g(x)=√x−1
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
The domain is the set of all reals, since f(g(x))=x+1.
anonymous
  • anonymous
why is f(g(x)) = x+1 since the equation states f(g(x)) equals the square root of x-1
anonymous
  • anonymous
You plug in the square root of x-1 for x.

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anonymous
  • anonymous
\[f(g(x))=(\sqrt{x-1})^{2}+2=(x-1)+2=x+1\]
anonymous
  • anonymous
oh great... this makes sense now. so what is the domain? hope I am asking the right question
anonymous
  • anonymous
x can be anything, so the domain is the set of all real numbers.
anonymous
  • anonymous
Thank you. you are a star!

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