Question

find \\(f + g\\), \\(f - g\\), \\(fg\\), and \\(\frac{f}{g}\\). determine the domain for each function.

\\f(x) = \sqrt{x}, \quad g(x) = x - 12\\

\\((f + g)(x) = \\) (simplify your answer.)

Explanation:

Find the sum of the functions

$$ (f+g)(x) = f(x) + g(x) = \sqrt{x} + x - 12 $$

Answer:

Find \(f+g\), \(f-g\), \(fg\), and \(\frac{f}{g}\). Determine the domain for each function.
\(f(x) = \sqrt{x}\), \(g(x) = x - 12\)

\((f+g)(x) =\) <blank>\(\sqrt{x} + x - 12\)</blank> (Simplify your answer.)