Question

Find the domain of g[g(X)] if f(x)= x^2+4 and g(x) = sqrt{x+2} Find the domain of g[g(X)] if f(x)= x^2+4 and g(x) = sqrt{x+2} @Mathematics

Answer 1

\[g(g(x))=g(\sqrt{x+2})=\sqrt{\sqrt{x+2}+2}\]

Answer 2

oh you can use a double radical?

Answer 3

domain you find by solving
\[x+2\geq 0\] so
\[x\geq -2\]

Answer 4

awesome, you are smart! thanks