Answer
$f(g(x)) = 3-x$
Since the function $f(g(x))$ is a polynomial function, its $Domain$ is $all$ $Real$ $numbers$.
Work Step by Step
$$f(x) = x^2 +1$$ $$g(x) = \sqrt{2-x}$$
$f(g(x)) = (\sqrt{2-x})^2 +1$
$f(g(x)) = (2-x) +1$
$f(g(x)) = 3-x$
Since the function $f(g(x))$ is a polynomial function, its $Domain$ is $all$ $Real$ $numbers$.
