Question

Please help with the first question....

Answer 1

Answer:

  A)  The functions are not inverses of each other.

Step-by-step explanation:

$f(g(x))=\sqrt{(x^2+3)-3}=\sqrt{x^2}=|x|\ne x$

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.