Question

for \\(f(x) = \sqrt{x}\\) and \\(g(x) = x - 6\\), find
a. \\((f \circ g)(x)\\)
b. the domain of \\(f \circ g\\)

a. \\((f \circ g)(x) = \square\\)
(simplify your answer.)

Explanation:

Evaluate the composite function

Using the Function Composition knowledge point

$$ (f \circ g)(x) = f(g(x)) = f(x - 6) = \sqrt{x - 6} $$

Answer:

For \(f(x) = \sqrt{x}\) and \(g(x) = x - 6\), find
a. \((f \circ g)(x) =\) <blank>\(\sqrt{x - 6}\)</blank>