a) (fog)x = (sqrt(x-2))^2+7 = x-2+7 = x+5 The domain is x>/=2
b) (gof)x = sqrt(x^2+7-2) = sqrt(x^2+5) The domain is all real numbers
c) (fof)x = (x^2+7)^2+7 = x^4+14x^2+56 The domain is all real numbers
d) (gog)x = sqrt(sqrt(x-2)-2) The domain is x>/= 6
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