Question

find the domain of the composite function fog
f(x)=x^2+7; g(x)=sqrt x-2

Answer 1

plug in sqrtx -2 for x into f(x) so..
\[f(g(x))=(\sqrt{x}-2)^{2}+7\]\[=x-4\sqrt{x}+4+7\]\[=x-4\sqrt{x}+11\]

Answer 2

and because x cannot be negative because of the square root x, the domain would be x is greater than or equal to zero or [0,infinity)

Answer 3

questions?

Answer 4

no thanks