Let \(f\) and \(g\) be the functions from the set of integers to the set of integers defined by
\[
f(x)=2x+3
\]
and
\[
g(x)=3x+2.
\]
What is the composition of \(f\) and \(g\)?
Show Hint
To find a composition of functions:
\[
(f\circ g)(x)=f(g(x)).
\]
Always substitute the entire expression \(g(x)\) into \(f(x)\), and then simplify carefully.