Answer
$f(g(x))=x$; Domain: $[0,\infty)$
$g(f(x))=x$; Domain: All real numbers
The two composite functions are not equal.
Work Step by Step
$f(g(x))$
$f(\sqrt{x})$
$\sqrt{x}^2$
$x$
Domain: $[0,\infty)$ because the expression under the square root must be greater than or equal to 0
$g(f(x))$
$g(x^2)$
$\sqrt{x^2}$
$x$
Domain: All real numbers
The two composite functions have are not the same since they do not have the same domain.
