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Finding Domain.
If f(x)=x^2+2 and g(x)=√x-5 (or square root of x-5), Find the domain of (f of g)(x). Also, write the composed function and determine the domain of the composed function. Show work.
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Answer :

konrad509
[tex](f \circ g)(x)=(\sqrt{x-5})^2+2=x-5+2=x-3\\ D:x\in \mathbb{R}[/tex]

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