Answer:
A) The functions are not inverses of each other.
Step-by-step explanation:
[tex]f(g(x))=\sqrt{(x^2+3)-3}=\sqrt{x^2}=|x|\ne x[/tex]
The result of f(g(x)) is not always x, so the functions are not inverses of each other.
In general, a quadratic (or any even-degree polynomial) such as g(x) cannot have an inverse function because it does not pass the horizontal line test.
