Question

Need help with Precalc!!

Answer 1

We know that \(h(x) = \sqrt {x+5}\), and we know that \(f(x) = \sqrt {x + 2}\).

Answer 2

Really, what we're saying here is that \(f(g(x)) = h(x)\).

Answer 3

Substituting \(x = g(x)\), we find that:
$$\sqrt{x+5} = \sqrt{g(x) + 2}$$