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If f(x) = (√x-8) and g(x) =x+4, find the function h(x) such that h(x)= (f o g)^-1. Be sure to give a domain restriction if necessary. Need to know how to get the answer as well because I have to show work. Really lost. Help?

Precalculus
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I've written everything in the attached file. hope it helps you.
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Just wondering now, how do i find if there is a domain restriction on the inverse function?

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