Answer
f(g(x)=$\frac{2}{\frac{1}{x}+3}$
D=(-$\infty$,-3) U (-3,-$\frac{1}{3}$) U (-$\frac{1}{3}$,0) U (0,$\infty$)
Work Step by Step
f(g(x)=$\frac{2}{\frac{1}{x}+3}$
$\frac{1}{x}$+3$\ne$0
$\frac{1}{x}$$\ne$-3
x$\ne$-$\frac{1}{3}$
x+3$\ne$0
x$\ne$-3
x$\ne$0
Therefore, the domain of the composition function includes all real numbers except -3, -$\frac{1}{3}$, and 0.