Problem

For the given functions, find \( (f \circ g)(x) \) and \( (g \circ f)(x) \) and the domain of each.
\[
f(x)=7 x+3, g(x)=\sqrt{x}
\]
\[
(f \circ g)(x)=
\]

Answer

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Answer

\( = 7(\sqrt{x}) + 3 \)

Steps

Step 1 ：\( (f \circ g)(x) = f(g(x)) \)

Step 2 ：\( = f(\sqrt{x}) \)

Step 3 ：\( = 7(\sqrt{x}) + 3 \)

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